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https://academic.oup.com/imrn/article/doi/10.1093/imrn/rnn115/712649
Jan 01, 2008 · Boe, Kujawa and Nakano [3; 4] recently investigated relative cohomology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto, and Serganova.Cited by: 11
https://www.sciencedirect.com/science/article/abs/pii/S002186931100679X
Support varieties for Lie superalgebras over the complex numbers were introduced in Boe et al. (2010) using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definition for subalgebras which detect the cohomology, also discuss realizability of support varieties.
https://www.sciencedirect.com/science/article/pii/S002186931100679X
Support varieties for Lie superalgebras over the complex numbers were introduced in Boe et al. (2010) using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definition for subalgebras which detect the cohomology, also discuss realizability of support varieties.Cited by: 6
http://www2.math.ou.edu/%7Ekujawa/BagciKN.pdf
cohomology and support varieties for lie superalgebras of type w(n) 3 Premet’s [Pr] earlier computation of the ring of invariant functions on the finite-dimensional simple Lie algebra W(n,1) over an algebraically closed field of positive characteristic.
https://www.researchgate.net/publication/2131151_Cohomology_and_Support_Varieties_for_Lie_Superalgebras
Cohomology and Support Varieties for Lie Superalgebras Article (PDF Available) in Transactions of the American Mathematical Society 362(12) · October 2006 with 70 Reads How we measure 'reads'
https://arxiv.org/abs/0708.3191
In \\cite{BKN} the authors initiated a study of the representation theory of classical Lie superalgebras via a cohomological approach. Detecting subalgebras were constructed and a theory of support varieties was developed. The dimension of a detecting subalgebra coincides with the defect of the Lie superalgebra and the dimension of the support variety for a simple supermodule was conjectured ...Cited by: 25
https://link.springer.com/article/10.1007%2Fs10468-012-9395-6
Bagci, I.: On cohomology and support varieties for Lie superalgebras. J. Algebra 352, 204–219 (2012) CrossRef MathSciNet Google ScholarCited by: 6
https://ui.adsabs.harvard.edu/abs/2007arXiv0708.3191B/abstract
In \cite{BKN} the authors initiated a study of the representation theory of classical Lie superalgebras via a cohomological approach. Detecting subalgebras were constructed and a theory of support varieties was developed. The dimension of a detecting subalgebra coincides with the defect of the Lie superalgebra and the dimension of the support variety for a simple supermodule was conjectured to ...
https://arxiv.org/abs/0806.3740
Abstract: Boe, Kujawa and Nakano recently investigated relative cohomology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto, and Serganova.Cited by: 1
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.923
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. Boe, Kujawa and Nakano [BKN1, BKN2] recently investigated relative coho-mology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto ...
https://academic.oup.com/imrn/article/doi/10.1093/imrn/rnn115/712649
Jan 01, 2008 · Boe, Kujawa and Nakano [3; 4] recently investigated relative cohomology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto, and Serganova.Cited by: 11
https://www.sciencedirect.com/science/article/abs/pii/S002186931100679X
Support varieties for Lie superalgebras over the complex numbers were introduced in Boe et al. (2010) using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definition for subalgebras which detect the cohomology, also discuss realizability of support varieties.
https://www.sciencedirect.com/science/article/pii/S002186931100679X
Support varieties for Lie superalgebras over the complex numbers were introduced in Boe et al. (2010) using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definition for subalgebras which detect the cohomology, also discuss realizability of support varieties.Cited by: 6
http://www2.math.ou.edu/%7Ekujawa/BagciKN.pdf
cohomology and support varieties for lie superalgebras of type w(n) 3 Premet’s [Pr] earlier computation of the ring of invariant functions on the finite-dimensional simple Lie algebra W(n,1) over an algebraically closed field of positive characteristic.
https://www.researchgate.net/publication/2131151_Cohomology_and_Support_Varieties_for_Lie_Superalgebras
Cohomology and Support Varieties for Lie Superalgebras Article (PDF Available) in Transactions of the American Mathematical Society 362(12) · October 2006 with 70 Reads How we measure 'reads'
https://arxiv.org/abs/0708.3191
In \\cite{BKN} the authors initiated a study of the representation theory of classical Lie superalgebras via a cohomological approach. Detecting subalgebras were constructed and a theory of support varieties was developed. The dimension of a detecting subalgebra coincides with the defect of the Lie superalgebra and the dimension of the support variety for a simple supermodule was conjectured ...Cited by: 25
https://ui.adsabs.harvard.edu/abs/2007arXiv0708.3191B/abstract
In \cite{BKN} the authors initiated a study of the representation theory of classical Lie superalgebras via a cohomological approach. Detecting subalgebras were constructed and a theory of support varieties was developed. The dimension of a detecting subalgebra coincides with the defect of the Lie superalgebra and the dimension of the support variety for a simple supermodule was conjectured to ...
https://arxiv.org/abs/0806.3740
Abstract: Boe, Kujawa and Nakano recently investigated relative cohomology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto, and Serganova.Cited by: 1
https://link.springer.com/article/10.1007%2Fs10468-012-9395-6
Let [equation] be a restricted Lie superalgebra over an algebraically closed field k of characteristic p > 2. Let [equation] denote the restricted enveloping algebra of [equation]. ... On cohomology and support varieties for Lie superalgebras. J. ... Bagci, I., Kujawa, J.R., Nakano, D.K.: Cohomology and support varieties for Lie superalgebras ...Cited by: 6
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.923
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. Boe, Kujawa and Nakano [BKN1, BKN2] recently investigated relative coho-mology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto ...
https://link.springer.com/article/10.1007%2Fs10468-012-9395-6
Let [equation] be a restricted Lie superalgebra over an algebraically closed field k of characteristic p > 2. Let [equation] denote the restricted enveloping algebra of [equation]. ... On cohomology and support varieties for Lie superalgebras. J. ... Bagci, I., Kujawa, J.R., Nakano, D.K.: Cohomology and support varieties for Lie superalgebras ...
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.923
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. Boe, Kujawa and Nakano [BKN1, BKN2] recently investigated relative coho-mology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support varieties give a geometric interpretation of the combinatorial notions of defect and atypicality due to Kac, Wakimoto ...
http://adsabs.harvard.edu/abs/2010arXiv1009.3534B
Abstract Support varieties for Lie superalgebras over the complex numbers were introduced in \cite{BKN1} using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definition for subalgebras which detect the cohomology, also discuss realizability of support varieties.
http://adsabs.harvard.edu/abs/2006math......9363B
Abstract We study cohomology for classical Lie superalgebras $\mathfrak{g}$ (e.g. gl(mn)) over the complex numbers. Using results from invariant theory, we show that there exist subsuperalgebras which detect the cohomology of $\mathfrak{g}.$ Furthermore, drawing inspiration from finite groups and restricted Lie algebras, we introduce the notion of support varieties in this context.
https://academic.oup.com/imrn/article/2011/3/696/717381
May 14, 2010 · It should be remarked that the detecting subalgebras introduced in are essentially isomorphic to a direct product of Lie superalgebras isomorphic to . Thus, the above theorem applies in a setting which is already known to be of interest when studying cohomology and support varieties for Lie superalgebras. 3 Type I Lie Superalgebras
http://www.ams.org/meetings/international/1040-17-31.pdf
Cohomology and Support Varieties for Lie superalgebras of type W(n). (Joint work with J. Kujawa and D. Nakano)Boe, Kujawa and N akano recently investigated the relative cohomology for classical Lie superalgebras and developed a theory of supp ort varieties. The dimensions of the support varieties …
https://www.math.sinica.edu.tw/chengsj/2010Nakano.pdf
Cohomological Detection for Lie Superalgebras with Applications to Support Varieties Daniel K. Nakano (joint work with Gus Lehrer and Ruibin Zhang) Department of Mathematics University of Georgia December 23, 2010 Daniel K. Nakano (UGA) Detecting Cohomology December 23, 2010 1 / 30
https://archive.org/details/arxiv-math0609363
We study cohomology for classical Lie superalgebras $\\mathfrak{g}$ (e.g. gl(mn)) over the complex numbers. Using results from invariant theory, we show that...
https://math.depaul.edu/cdrupies/research/talks/bielefeld2015.pdf
Support varieties for Lie superalgebras and nite graded group schemes Christopher M. Drupieski Workshop on Representations, Support, and Cohomology in honour of Rolf Farnsteiner’s 60th birthday Bielefeld University, 4{5 December 2015 Christopher M. Drupieski (DePaul University) Support varieties for nite graded group schemes
https://export.arxiv.org/pdf/1711.02112
ON THE FINITE GENERATION OF RELATIVE COHOMOLOGY FOR LIE SUPERALGEBRAS 3 University of Georgia, and was partially supported by the Research and Training Group in Algebraic Geometry, Algebra and Number Theory grant DMS-1344994 funded by the National Science Foundation. 2. …
https://core.ac.uk/display/1954354
Cohomology and Support Varieties for Lie Superalgebras II . By Brian D. Boe, ... Detecting subalgebras were constructed and a theory of support varieties was developed. The dimension of a detecting subalgebra coincides with the defect of the Lie superalgebra and the dimension of the support variety for a simple supermodule was conjectured to ...
https://www.semanticscholar.org/paper/Mixed-cohomology-of-Lie-superalgebras-Su-Zhang/63930724f8cecaafb1cf382dac665e84fded9b42
We investigate a new cohomology of Lie superalgebras, which may be compared to a de Rham cohomology of Lie supergroups involving both differential and integral forms. It is defined by a BRST complex of Lie superalgebra modules, which is formulated in terms of a Weyl superalgebra and incorporates inequivalent representations of the bosonic Weyl subalgebra. The new cohomology …
http://core.ac.uk/display/22053460
COHOMOLOGY AND SUPPORT VARIETIES FOR LIE SUPERALGEBRAS II . By Brian D. Boe, Jonathan R. Kujawa, Daniel and K. Nakano. Abstract. Abstract. In [BKN] the authors initiated a study of the representation theory of classical Lie superalgebras via a cohomological approach. Detecting subalgebras were constructed and a theory of support varieties was ...
http://www2.math.ou.edu/~kujawa/FinalBKN.pdf
COHOMOLOGY AND SUPPORT VARIETIES FOR LIE SUPERALGEBRAS BRIAN D. BOE, JONATHAN R. KUJAWA, AND DANIEL K. NAKANO 1. Introduction 1.1. The blocks of the Category O (or relative Category O S) for complex semisimple Lie algebras are well known examples of highest weight categories, as defined in [CPS], with finitely many simple modules.
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