Lie algebras, Lie superalgebras, vertex algebras and related topics : 2012-2014 Southeastern Lie Theory Workshop series : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University, Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston, Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State University, Representation Theory of Lie Algebras and Superalgebras, May 16-17, 2014, University of Georgia

書誌事項

Lie algebras, Lie superalgebras, vertex algebras and related topics : 2012-2014 Southeastern Lie Theory Workshop series : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University, Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston, Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State University, Representation Theory of Lie Algebras and Superalgebras, May 16-17, 2014, University of Georgia

Kailash C. Misra, Daniel K. Nakano, Brian J. Parshall, editors

(Proceedings of symposia in pure mathematics, v. 92)

American Mathematical Society, c2016

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注記

Includes bibliographical references

内容説明・目次

内容説明

This book contains the proceedings of the 2012-2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

目次

Modular affine vertex algebras and baby Wakimoto modules by T. Arakawa and W. Wang Howe correspondence and Springer correspondence for dual pairs over a finite field by A.-M. Aubert, W. Kraskiewicz, and T. Przebinda Twisted modules for tensor product vertex operator superalgebras and permutation automorphisms of odd order by K. Barron Third cohomology for Frobenius kernels and related structures by C. P. Bendel, D. K. Nakano, and C. Pillen Invariant theory for quantum Weyl algebras under finite group action by S. Ceken, J. H. Palmieri, Y.-H. Wang, and J. J. Zhang Bounded highest weight modules over $\mathfrak{osp}(1,2n)$ by T. Ferguson, M. Gorelik, and D. Grantcharov A combinatorial description of the affine Gindikin-Karpelevich formula of type $A_n^{(1)}$ by S.-J. Kang, K.-H. Lee, H. Ryu, and B. Salisbury Canonical bases of Cartan-Borcherds type, II: Constructible functions on singular supports by Y. Li Krichever-Novikov type algebras. An introduction by M. Schlichenmaier Lax operator algebras and Lax equations by O. K. Sheinman From forced gradings to Q-Koszul algebras by B. J. Parshall and L. L. Scott Perverse sheaves on the nilpotent cone and Lusztig's generalized Springer correspondence by L. Rider and A. Russell Categorifying the tensor product of a level 1 highest weight and perfect crystal in type $A$ by M. Vazirani On the unitary representations of the affine $ax+b$-group, $\widehat{sl}(2,\mathbb{R})$ and their relatives by A. M. Zeitlin

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