Canonical symmetrization for the unitary bases. II. Boson and fermion bases
نویسندگان
چکیده
منابع مشابه
Canonical Bases for Algebraic Computations
We investigate, for quotients of the non-commutative polynomial ring, a property that implies finiteness of Gröbner bases computation, and examine its connection with Noetherianity. We propose a Gröbner bases theory for our factor algebras, of particular interest for one-sided ideals, and show a few applications, e.g. how to compute (one-sided) syzygy modules.
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Let U be the quantized enveloping algebra associated to a simple Lie algebra g by Drinfel’d and Jimbo. Let λ be a classical fundamental weight for g, and V (λ) the irreducible, finite-dimensional type 1 highest weight U -module with highest weight λ. We show that the canonical basis for V (λ) (see Kashiwara [6, §0] and Lusztig [18, 14.4.12]) and the standard monomial basis (see [11, §§2.4 & 2.5...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1976
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.523039