On Odd Symplectic Schur Functions

✍ Scribed by Mihalis Maliakas

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 106 KB
• Volume: 211
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1998.7478

✦ Synopsis

Proctor defined combinatorially a family of Laurent Polynomials, called odd Ž . symplectic Schur functions, indexed by pairs , c , where is partition and c is a Ž . column length of . A conjecture of Proctor In¨ent. Math. 92, 1988, 307᎐332 includes the statement that the odd symplectic Schur functions are actually Ž . characters of Sp 2 n q 1, C . The purpose of the present note is to prove this.