Noncommutative Symmetrical Functions
نویسندگان
چکیده
منابع مشابه
Noncommutative Monomial Symmetric Functions
This presentation will introduce noncommutative analogs of monomial symmetric functions (and their dual, forgotten symmetric functions). In analogy to the classical theory, expansion of ribbon Schur functions in this basis in nonnegative. Moreover, one can define fundamental noncommutative symmetric functions by analogy with quasi-symmetric theory. The expansion of ribbon Schur functions in thi...
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This is the text of lectures delivered at the RIMS (Kyoto University) in July 1998. It presents the basic structures of the theory of noncommutative symmetric functions, with emphasis on the parallel with the commutative theory and on the representation theoretical interpretations. Some examples involving descent algebras and characters of symmetric groups are discussed in detail. Introduction ...
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The perturbative approach to quantum field theory using retarded functions is extended to noncommutative theories. Unitarity as well as quantized equations of motion are studied and seen to cause problems in the case of space-time noncommutativity. A modified theory is suggested that is unitary and preserves the classical equations of motion on the quantum level. PACS: 11.10.Nx, 11.25.Db
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1995
ISSN: 0001-8708
DOI: 10.1006/aima.1995.1032