Tridiagonal pairs and the quantum affine algebra Uq (sl 2)

フォーマット:

論文

責任表示:

Ito, Tatsuro ; Terwilliger, Paul

言語:

英語

出版情報:

Springer Verlag, 2007-06-01

著者名:

• Ito, Tatsuro
• Terwilliger, Paul

掲載情報:

Ramanujan Journal

ISSN:

1382-4090      

巻:

13

通号:

1-3

開始ページ:

39

終了ページ:

62

バージョン:

author

概要:

金沢大学大学院自然科学研究科計算科学<br />金沢大学理学部<br />Let double-struck K denote an algebraically closed field and let q denote a nonzero scalar in double-struck K that is not a root of unity. Let V denote a vector space over double-struck K wit … h finite positive dimension and let A, A* denote a tridiagonal pair on V. Let θ0, θ1,..., θd (resp. θ0*, θ1*,..., θd*) denote a standard ordering of the eigenvalues of A (resp. A*). We assume there exist nonzero scalars a, a* in double-struck K such that θi = aq 2i-d and θi* = a*qd-2i for 0 ≤ i ≤ d. We display two irreducible Uq(sl2)-module structures on V and discuss how these are related to the actions of A and A*. © 2006 Springer Science + Business Media, LLC. 続きを見る

URL:

http://hdl.handle.net/2297/6716