Semantic Scholar Open Access 2002 124 sitasi

Dual canonical bases, quantum shuffles and q-characters

B. Leclerc

Abstrak

Abstract.Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field.

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Mathematics

Penulis (1)

B. Leclerc

Format Sitasi

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Leclerc, B. (2002). Dual canonical bases, quantum shuffles and q-characters. https://doi.org/10.1007/S00209-003-0609-9

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Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 124×
Sumber Database: Semantic Scholar
DOI: 10.1007/S00209-003-0609-9
Akses: Open Access ✓