Modules Over Affine Lie Algebras at Critical Level and Quantum Groups

Released on by Qian Lin (Electrical engineer)
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  • Modules Over Affine Lie Algebras at Critical Level and Quantum Groups Book Detail

  • Author : Qian Lin (Electrical engineer)
  • Release Date : 2010
  • Publisher :
  • Genre :
  • Pages : 47
  • ISBN 13 :
  • File Size : 47,47 MB
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Modules Over Affine Lie Algebras at Critical Level and Quantum Groups by Qian Lin (Electrical engineer) PDF Summary

Book Description: 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.

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