Identities for Classical Group Characters of Nearly Rectangular Shape
نویسندگان
چکیده
منابع مشابه
Irreducible Symmetric Group Characters of Rectangular Shape
where χ(1) denotes the dimension of the character χ and (n)k = n(n − 1) · · · (n − k + 1). Thus [8, (7.6)(ii)][12, p. 349] χ(1) is the number f of standard Young tableaux of shape λ. Identify λ with its diagram {(i, j) : 1 ≤ j ≤ λi}, and regard the points (i, j) ∈ λ as squares (forming the Young diagram of λ). We write diagrams in “English notation,” with the first coordinate increasing from to...
متن کاملCapelli Identities for Classical Lie Algebras
We extend the Capelli identity from the Lie algebra glN to the other classical Lie algebras soN and spN . We employ the theory of reductive dual pairs due to Howe.
متن کاملNew identities between unitary minimal Virasoro characters
Two sets of identities between unitary minimal Virasoro characters at levels m = 3, 4, 5 are presented and proven. The first identity suggests a connection between the Ising and the tricritical Ising models since the m = 3 Virasoro characters are obtained as bilinears of m = 4 Virasoro characters. The second identity gives the tricritical Ising model characters as bilinears in the Ising model c...
متن کاملUniversal Characters from the Macdonald Identities
The main result of [Kos] shows that a sequence of complexes associated with the MacDonald identities gives a sequence of universal characters which extends and generalises some representations of the exceptional series given in [Del96]. This proves the conjectures in [MP03]. In this paper we use a twisted version of this definition to define a sequence of complexes for the first row of the Freu...
متن کاملMinimal Characteristic Algebras for Rectangular k - Normal Identities
A characteristic algebra for a hereditary property of identities of a fixed type τ is an algebra A such that for any variety V of type τ , we have A ∈ V if and only if every identity satisfied by V has the property p. This is equivalent to A being a generator for the variety determined by all identities of type τ which have property p. PÃlonka has produced minimal (smallest cardinality) charact...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7531