The Orthogonal and Symplectic Schur Functions, Vertex Operators and Integrable Hierarchies
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS(2021)
摘要
In this paper, we first construct an integrable system whose solutions include the orthogonal Schur functions and the symplectic Schur functions. We find that the orthogonal Schur functions and the symplectic Schur functions can be obtained by one kind of Boson-Fermion correspondence which is slightly different from the classical one. Then, we construct a universal character which satisfies the bilinear equation of a new infinite-dimensional integrable orthogonal UC hierarchy.
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关键词
Boson-Fermion correspondence,orthogonal and symplectic schur functions,integrable hierarchy,universal character
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