Results 71 to 80 of about 3,007,169 (162)
A noncommutative approach to the Schur positivity of chromatic symmetric functions
, 2023 We obtain the Schur positivity of spider graphs of the forms $S(a,2,1)$ and $S(a,4,1)$, which are considered to have the simpliest structures for which the Schur positivity was unknown. The proof outline has four steps. First, we find noncommutative analogs for the chromatic symmetric functions of the spider graphs $S(a,b,1)$.
Thibon, Jean-Yves, Wang, David G. L.
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Elementary evolutions in Banach algebra [PDF]
, 2013 An elementary class of evolutions in unital Banach algebras is obtained by integrating product functions over Guichardet's symmetric measure space on the half-line.
Lindsay, J. Martin, Das, Bata Krishna
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Noncommutative Vieta Theorem and Symmetric Functions
, 1996 A version of the classical Vieta theorem for free noncommuting variables is given.
Gelfand, Israel, Retakh, Vladimir
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Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters
, 2001 We define two-parameter families of noncommutative symmetric functions and quasi-symmetric functions, which appear to be the proper analogues of the Macdonald symmetric functions in these settings.
Hivert, F., Lascoux, A., Thibon, J. -Y.
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The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables
Advances in Applied Mathematics, 2011 8 pages; footnote added; references added; further remarks ...
Aaron Lauve, Mitja Mastnak
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Noncommutative symmetric functions and laplace operators for classical Lie algebras [PDF]
Letters in Mathematical Physics, 1995 25 ...
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Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]
, 2010 In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian ...
Boer, A.L. +5 more
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Lectures On Noncommutative Symmetric Functions
, 1998 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 ...
Jean-yves Thibon
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Chromatic quasisymmetric functions and noncommutative 𝑃-symmetric functions
Transactions of the American Mathematical SocietyFor a natural unit interval order P P , we describe proper colorings of the incomparability graph of
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Chromatic quasisymmetric functions and noncommutative $P$-symmetric functions [PDF]
For a natural unit interval order $P$, we describe proper colorings of the incomparability graph of $P$ in the language of heaps. We also introduce a combinatorial operation, called a \emph{local flip}, on the heaps. This operation defines an equivalence
Hwang, Byung-Hak
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