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Higher Order Quantum Serre Relations

  • George Lusztig
Chapter
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

7.1.1. In this chapter we assume that we are given i ≠ j in I and e = ±1. Given n, m ∈ Z, we set
$${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$

Keywords

Hopf Algebra Quantum Group Finite Type Coxeter Group Divided Power 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • George Lusztig
    • 1
  1. 1.Department of MathematicsMITCambridgeUSA

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