Unital associative pseudoalgebras and their representations

Details Unital associative pseudoalgebras and their representations Unital associative pseudoalgebras and their representations

2001-09-17

arxiv.org/abs/math/0109110v3

Mathematics

Quantum Algebra

29 pages, AMS-LaTeX; several examples added

Scientific paper

Pseudoalgebras, introduced in [BDK], are multi-dimensional analogues of conformal algebras, which provide an axiomatic description of the singular part of the operator product expansion. Our main interest in this paper is the pseudoalgebra Cend_n, which is the analogue of an algebra of endomorphisms of a finite module. We study its algebraic properties. In particular, we introduce the class of unital pseudoalgebras and describe their structure and representations. Also, we classify pseudoalgebras algebraically similar to Cend_n.

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