THE ALGEBRA OF QUANTUM BOSONS, THE SCHUBERT FILTRATION, AND LUSZTIG BASES

The ''Schubert filtration'', defined by means of the quantum Weyl group, is considered in Drinfel'd-Jimbo quantum algebras. A description is obtained for this filtration in terms of linear relations determined by the algebra of ''quantum bosons'', and also in terms of certain projection operators. The connection between this filtration and Lusztig bases and Kashiwara crystal bases is considered.

Авторы
Журнал
Издательство
Institute of Physics Publishing
Номер выпуска
3
Язык
Английский
Страницы
397-419
Статус
Опубликовано
Том
43
Год
1994
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