Description

Book Synopsis
Contains the proceedings of the 2012-2014 Southeastern Lie Theory Workshop Series held between 2012 and 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.

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

Lie Algebras Lie Superalgebras Vertex Algebras

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    A Hardback by Kailash C. Misra, Daniel K. Nakano, Brian J. Parshall

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      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2016 12:00:00 AM
      ISBN13: 9781470418441, 978-1470418441
      ISBN10: 1470418444

      Description

      Book Synopsis
      Contains the proceedings of the 2012-2014 Southeastern Lie Theory Workshop Series held between 2012 and 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.

      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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