Multiplying Schur Q-functions
โ Scribed by Mark Shimozono
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 223 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Proctor defined combinatorially a family of Laurent Polynomials, called odd ลฝ . symplectic Schur functions, indexed by pairs , c , where is partition and c is a ลฝ . column length of . A conjecture of Proctor Inยจent. Math. 92, 1988, 307แ332 includes the statement that the odd symplectic Schur functio
We make use of the representation theory of the infinite-dimensional Lie $ algebras a , b , and sl to derive explicit formulas relating Schur's P-functions to ฯฑ ฯฑ 2 Schur's S-functions. แฎ 1998 Academic Press 2 n n n w x of แญ isomorphic to the hyperoctaedral group 35 . 2 n ลฝ As discovered by the Kyo
## DEDICATED TO DOMINIQUE FOATA ON THE OCCASION OF HIS 65TH BIRTHDAY Some new identities for Schur functions are proved. In particular, we settle in ลฝ the affirmative a recent conjecture of M.
This paper presents some new product identities for certain summations of Schur functions. These identities are generalizations of some famous identities known to Littlewood and appearing in Macdonald's book. We refer to these identities as the ''Littlewood-type formulas.'' In addition, analogues fo