Higher Order Quantum Serre Relations
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Auteurs : George Lusztig [États-Unis]Source :
- Modern Birkhäuser Classics ; 2010.
Abstract
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 $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$
Url:
DOI: 10.1007/978-0-8176-4717-9_7
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<front><div type="abstract" xml:lang="en">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 $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$</div>
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