Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

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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.
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Product details

  • Hardback | 355 pages
  • 178 x 254 x 25.4mm | 793.79g
  • Providence, United States
  • English
  • 1470418444
  • 9781470418441
  • 2,815,157

Table of contents

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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About Kailash C. Misra

Kailash C. Misra, North Carolina State University, Raleigh, NC, USA.

Daniel K. Nakano, University of Georgia, Athens, GA, USA.

Brian J. Parshall, University of Virginia, Charlottesville, VA, USA.
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