Nakayama automorphism and applications

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Decomposition of Some Pointed Hopf Algebras given by the Canonical Nakayama Automorphism

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Kiyoshi Nakayama

My research interests primarily lie in the fields of networks and distributed systems and span the areas of smart grid management models, optimal flow controls, traffic engineering, load balancing, fault-tolerant systems, and circuit and systems. The goal of my research is to develop breakthrough technologies that radically improve the performance of those network systems by delving into each s...

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Skew quantum Murnaghan-Nakayama rule

In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara’s original proof, ...

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Nakayama , Shimojo , and Ramachandran ' s 1990 paper

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Skew Calabi-yau Algebras and Homological Identities

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2016

ISSN: 0002-9947,1088-6850

DOI: 10.1090/tran/6718