Isotopic pairs and their representations. II. A general supercase

Details Isotopic pairs and their representations. II. A general supercase Isotopic pairs and their representations. II. A general supercase

1995-11-18

arxiv.org/abs/q-alg/9511012v1

Mathematics

Quantum Algebra

Part I has the number mp_arc/95-267 [+Theor.Math.Phys.105(1995)]

Scientific paper

Isotopic pairs and their representations are considered in a general framework of the vector superalgebra. Numerous examples of finite-dimensional and infinite-dimensional isotopic pairs are discussed. Several types of their representations are analysed. Applications to physics and relations to other mathematical objects are specified. Some curious combinatorial aspects of representation theory of isotopic pairs (graph-representations) are explicated. Perspectives of the further researches are drawn.

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