University of Tsukuba

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20022026

most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

Showing 2008 · math.QAShow all

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math.QA2008

Generalized $q$ -boson algebras and their integrable modules

Akira Masuoka

We define the generalized $q$ -boson algebra $ \cmdB$ associated to a pair of Nichols algebras and a skew pairing. We study integrable $ \cmdB$-modules, generalizing results by M. K…

math.QA2008★ 1 cited

Deformation of central charges, vertex operator algebras whose Griess algebras are Jordan algebras

Takahiro Ashihara, Masahiko Miyamoto

If a vertex operator algebra $V = \oplus_{n = 0}^{\infty} V_{n}$ satisfies $dim V_{0} = 1, V_{1} = 0$ , then $V_{2}$ has a commutative (nonassociative) algebra structure called Griess algebra. One…

math.QA2008

Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal

Satoshi Naito, Daisuke Sagaki

We give a necessary and sufficient condition for an MV polytope $P$ in a highest weight crystal to lie in an arbitrary fixed Demazure crystal (resp., opposite Demazure crystal), in…

Generalized q-boson algebras and their integrable modules

Deformation of central charges, vertex operator algebras whose Griess algebras are Jordan algebras

Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal

Generalized $q$ -boson algebras and their integrable modules