Noncommutative Analogs of Monomial Symmetric Functions, Cauchy Identity and Hall Scalar Product
نویسنده
چکیده
Abstract. This paper will introduce noncommutative analogs of monomial symmetric functions and fundamental noncommutative symmetric functions. The expansion of ribbon Schur functions in both of these basis is nonnegative. With these functions at hand, one can derive a noncommutative Cauchy identity as well as study a noncommutative scalar product implied by Cauchy identity. This scalar product seems to the noncommutative analog of Hall scalar product in the commutative theory.
منابع مشابه
Noncommutative Monomial Symmetric Functions
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