Modules over affine lie algebras at critical level and quantum groups by Qian Lin.
Name
681951804-MIT.pdf
Description
Full printable version
Size
1.46 MB
Format
Adobe PDF
Checksum (MD5)
3e485f95884c65b210a53222a96e755e
Author(s)
Lin, Qian, Ph. D. Massachusetts Institute of Technology
Advisor(s)
Roman Bezrukavnikov.
Date Issued
2010
Publisher
Massachusetts Institute of Technology
Abstract
There are two algebras associated to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd root of unity with (some) fixed central character is equivalent to the core of a certain t-structure on the derived category of coherent sheaves on certain Springer Fiber. Meanwhile, a certain category of representation of Kac-Moody Lie algebra at critical level with (some) fixed central character is also equivalent to a core of certain t-structure on the same triangulated category. Based on several geometric results developed by Bezurkvanikov et al. these two abelian categories turn out to be equivalent. i.e. the two t-structures coincide.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 45-47).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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