Search Results - "Kimoto, Kazufumi"

Highest Weight Vectors in Plethysms, II by Kimoto, Kazufumi, Lee, Soo Teck

“…For an irreducible polynomial representation V of the general linear group GL n ( C ) , we realize its symmetric square S 2 ( V ) and its alternating square Λ…”
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Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model by Kimoto, Kazufumi, Reyes-Bustos, Cid, Wakayama, Masato

“…Abstract The purpose of this paper is to study the exceptional eigenvalues of the asymmetric quantum Rabi models (AQRMs), specifically, to determine the…”
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Highest Weight Vectors in Plethysms by Kimoto, Kazufumi, Lee, Soo Teck

“…We realize the GL n ( C ) -modules S k ( S m ( C n ) ) and Λ k ( S m ( C n ) ) as spaces of polynomial functions on n × k matrices. In the case k = 3 , we…”
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Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals by Kimoto, Kazufumi, Wakayama, Masato

“…The purpose of the present paper is to study the number theoretic properties of the special values of the spectral zeta functions of the non-commutative…”
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Wreath determinants for group–subgroup pairs by Hamamoto, Kei, Kimoto, Kazufumi, Tachibana, Kazutoshi, Wakayama, Masato

“…The aim of the present paper is to generalize the notion of the group determinants for finite groups. For a finite group G and its subgroup H, one may define a…”
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The Height of a Class in the Cohomology Ring of Polygon Spaces by Kamiyama, Yasuhiko, Kimoto, Kazufumi

“…Let M-n,r be the configuration space of planar n-gons having side lengths 1,…,1 and r modulo isometry group. For generic r, the cohomology ring H*(M-n,r;ℤ2)…”
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A variation of multiple L-values arising from the spectral zeta function of the non-commutative harmonic oscillator by Kimoto, Kazufumi, Yamasaki, Yoshinori

“…A variation of multiple L-values, which arises from the description of the special values of the spectral zeta function of the non-commutative harmonic…”
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Partition functions for non-commutative harmonic oscillators and related divergent series by Kimoto, Kazufumi, Wakayama, Masato

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Alpha-determinant cyclic modules and Jacobi polynomials by MATSUMOTO, SHO, WAKAYAMA, MASATO, KIMOTO, KAZUFUMI

“…For positive integers n and l, we study the cyclic \mathcal {U}(\mathfrak {gl}_n)-module generated by the l-th power of the \alpha -determinant \det ^{(\alpha…”
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Partition functions for non-commutative harmonic oscillators and related divergent series by Kimoto, Kazufumi, Wakayama, Masato

“…The heat kernel (or propagator) of the quantum harmonic oscillator (qHO) is given by the Mehler formula, and the partition function is obtained by taking its…”
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Quantum Alpha-Determinants and q-Deformed Hypergeometric Polynomials by Kimoto, Kazufumi

“…The quantum α-determinant is defined as a parametric deformation of the quantum determinant. We investigate the cyclic -submodules of the quantum matrix…”
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Quantum α-determinant cyclic modules of U q ( gl n ) by Kimoto, Kazufumi, Wakayama, Masato

“…As a particular one parameter deformation of the quantum determinant, we introduce a quantum α-determinant det q ( α ) and study the U q ( gl n ) -cyclic…”
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Invariant theory for singular α-determinants by Kimoto, Kazufumi, Wakayama, Masato

“…From the irreducible decompositions' point of view, the structure of the cyclic GL n ( C ) -module generated by the α-determinant degenerates when α = ± 1 k (…”
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Ap\'ery-like numbers for non-commutative harmonic oscillators and automorphic integrals by Kimoto, Kazufumi, Wakayama, Masato

“…The purpose of the present paper is to study the number theoretic properties of the special values of the spectral zeta functions of the non-commutative…”
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A VARIATION OF MULTIPLE L-VALUES ARISING FROM THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR by KIMOTO, Kazufumi, YAMASAKI, Yoshinori

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Highest weight vectors in plethysms by Kimoto, Kazufumi, Lee, Soo Teck

“…We realize the $\mathrm{GL}_n(\mathbb{C})$-modules $S^k(S^m(\mathbb{C}^n))$ and $\Lambda^k(S^m(\mathbb{C}^n))$ as spaces of polynomial functions on $n\times k$…”
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Averages of alpha-determinants over permutations by Kimoto, Kazufumi

“…We show that certain weighted average of the alpha-determinant of a $kn$ by $kn$ matrix of the form $A\otimes1_{1,k}$, the Kronecker product of a $kn$ by $n$…”
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Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model by Kimoto, Kazufumi, Reyes-Bustos, Cid, Wakayama, Masato

“…International Mathematics Research Notices, rnaa034 (Published Online April 2020) The purpose of this paper is to study the exceptional eigenvalues of the…”
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Remarks on zeta regularized products by Kimoto, Kazufumi, Wakayama, Masato

“…The zeta regularized products play important roles in constructing functions having a certain invariance and a given set of zeros. To deal with wider class of…”
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Special value formula for the spectral zeta function of the non-commutative harmonic oscillator by Kimoto, Kazufumi

“…We calculate the special values of the spectral zeta function of the non-commutative harmonic oscillator, and give a general formula for them as integrals of…”
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