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E-raamat: Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

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Editors Misra, Nakano, and Parshall present readers with a collection of research collected from a variety of symposia in pure mathematics held at various U.S. universities and colleges between 2012 and 2014, and devoted to lie algebras, vertex algebras, lie superalbegras, and a variety of related topics. The selections that make up the main body of the text are devoted to Howe correspondence and Springer correspondence for dual pairs over a finite field, third cohomology for Frobenius kernels and related structures, canonical bases of Caran-Borchards type II and constructible functions on singular supports, and many other related subjects. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
Preface vii
Modular affine vertex algebras and baby Wakimoto modules
1(16)
Tomoyuki Arakawa
Weiqiang Wang
Howe correspondence and Springer correspondence for dual pairs over a finite field
17(28)
A.-M. Aubert
W. Kraskiewicz
T. Przebinda
Twisted modules for tensor product vertex operator superalgebras and permutation automorphisms of odd order
45(36)
Katrina Barron
Third cohomology for Frobenius kernels and related structures
81(38)
Christopher P. Bendel
Daniel K. Nakano
Cornelius Pillen
Invariant theory for quantum Weyl algebras under finite group action
119(16)
S. Ceken
J. H. Palmieri
Y.-H. Wang
J. J. Zhang
Bounded highest weight modules of osp(1, 2n)
135(10)
Thomas Ferguson
Maria Gorelik
Dimitar Grantcharov
A combinatorial description of the affine Gindikin-Karpelevich formula of type An{1)
145(22)
Seok-Jin Kang
Kyu-Hwan Lee
Hansol Ryu
Ben Salisbury
Canonical bases of Cartan-Borcherds type, II: Constructible functions on singular supports
167(14)
Yiqiang Li
Krichever-Novikov type algebras. An Introduction
181(40)
Martin Schlichenmaier
Lax operator algebras and Lax equations
221(26)
Oleg K. Sheinman
From forced gradings to Q-Koszul algebras
247(26)
Brian J. Parshall
Leonard L. Scott
Perverse sheaves on the nilpotent cone and Lusztig's generalized Springer correspondence
273(20)
Laura Rider
Amber Russell
Categorifying the tensor product of a level 1 highest weight and perfect crystal in type A
293(32)
Monica Vazirani
On the unitary representations of affine ax + b-group, sl(2, R) and their relatives
325
Anton M. Zeitlin
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.