Murnaghan–Nakayama Rule and Spin Bitrace for the Hecke–Clifford Algebra
نویسندگان
چکیده
Abstract A Pfaffian-type Murnaghan–Nakayama rule is derived for the Hecke–Clifford algebra $\mathcal{H}^{c}_{n}$ based on Frobenius formula and vertex operators, this leads to a combinatorial version via tableaux realization of Schur’s $Q$-functions. As consequence, general irreducible characters $\zeta ^{\lambda }_{\mu }(q)$ using partition-valued functions derived. Meanwhile, an iterative indexing partition $\lambda $ Pieri also deduced. applications, some compact formulae are given special partitions symmetric property character found. We introduce spin bitrace as analogue Hecke derive its formula. Tables listed $n\leq 7.$
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2023
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnad158