Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A

Details Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A

2004-01-09

arxiv.org/abs/math/0401087v1

Mathematics

Quantum Algebra

22 pages, LaTeX

Scientific paper

We describe the crystal bases of modified quantum algebras and its connected
component containing ``zero vector''by the polyhedral realization method for
the types A_n and A^(1)_1. We also present the explicit form of the unique
highest weight vector in the connected component.

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