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Related papers: A formula for the k-th covariant derivative

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We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Diaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma…

Quantum Algebra · Mathematics 2011-05-13 Rafael Diaz , Camilo Ortiz , Eddy Pariguan

In this paper, certain generalized fractional derivative formulae are introduced involving the k-Mittag-Leffler function. Then their image formulae (using Beta transform, Laplace transform and Whittaker transform) are also established. The…

Functional Analysis · Mathematics 2019-02-08 Mehar Chand , Jatinder Kumar Bansal

We present a lower bound on the Kronecker coefficients for tensor squares of the symmetric group via the characters of~$S_n$, which we apply to obtain various explicit estimates. Notably, we extend Sylvester's unimodality of $q$-binomial…

Combinatorics · Mathematics 2016-05-04 Igor Pak , Greta Panova

We give an explicit local formula for any formal deformation quantization, with separation of variables, on a K\"ahler manifold. The formula is given in terms of differential operators, parametrized by acyclic combinatorial graphs.

Mathematical Physics · Physics 2014-08-21 Niels Leth Gammelgaard

The purpose of this paper is to compute the Krull dimension of tensor products of k-algebras arising from pullbacks. We also state a formula for the valuative dimension.

Commutative Algebra · Mathematics 2007-05-23 S. Bouchiba , F. Girolami , S. Kabbaj

To understand the coupling behavior of the spinor with spacetime, the explicit form of the energy-momentum tensor of the spinor in curved spacetime is important. This problem seems to be overlooked for a long time. In this paper we derive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ying-Qiu Gu , Bijan Saha

In the first part of the book, we classify the automorphic representations of {\rm GSp}(2) which are invariant under tensor product with a given quadratic id\`ele class character, via the lifting of automorphic representations of twisted…

Number Theory · Mathematics 2007-05-23 Ping-Shun Chan

The usual prescription for constructing gauge-invariant Lagrangian is generalized to the case where a Lagrangian contains second derivatives of fields as well as first derivatives. Symmetric tensor fields in addition to the usual vector…

High Energy Physics - Theory · Physics 2017-02-01 Shinji HAMAMOTO

A simple systematic method for calculating derivative expansions of the one-loop effective action is presented. This method is based on using symbols of operators and well known deformation quantization theory. To demonstrate its advantages…

High Energy Physics - Theory · Physics 2009-10-31 N. G. Pletnev , A. T. Banin

We define some signature invariants for a class of knotted trivalent graphs using branched covers. We relate them to classical signatures of knots and links. Finally, we explain how to compute these invariants through the example of…

Geometric Topology · Mathematics 2018-10-24 Catherine Gille , Louis-Hadrien Robert

In this paper we present the exact value for the norm of directional derivatives, of all orders, for symmetric tensor powers of operators on finite dimensional vector spaces. Using this result we obtain an upper bound for the norm of all…

Functional Analysis · Mathematics 2013-05-07 Sónia Carvalho , Pedro J. Freitas

We give in this paper which is the fifth in a series of eight a theory of covariant derivatives of multivector and extensor fields based on the geometric calculus of an arbitrary smooth manifold M, and the notion of a connection extensor…

Differential Geometry · Mathematics 2007-05-23 A. M. Moya , V. V. Fernadez , W. A. Rodrigues

Let A be a central simple algebra over a field F. Let k_1,\ldots, k_r be cyclic extensions of F such that k_1\otimes_F\cdots \otimes_F k_r is a field. We investigate conditions under which A is a tensor product of symbol algebras where each…

Rings and Algebras · Mathematics 2013-10-22 Demba Barry

We investigate the question of how to compute the cotensor product, and more generally the derived cotensor (i.e., Cotor) groups, of a tensor product of comodules. In particular, we determine the conditions under which there is a…

Rings and Algebras · Mathematics 2023-03-21 A. Salch

Given a polynomial P of partial derivatives of the Kahler metric, expressed as a linear combination of directed multigraphs, we prove a simple criterion in terms of the coefficients for $P$ to be an invariant polynomial, i.e. invariant…

Quantum Algebra · Mathematics 2014-01-27 Hao Xu

We give an explicit natural identification between the quiver coefficients of Buch and Fulton, decomposition coefficients for Schubert polynomials, and the Schubert structure constants for flag manifolds. This is also achieved in K-theory…

Combinatorics · Mathematics 2014-11-18 Anders Skovsted Buch , Frank Sottile , Alexander Yong

We prove K-theoretic generalizations of the component formulas of Knutson, Miller, and Shimozono, and deduce that K-theoretic quiver coefficients have alternating signs. We also prove new variants of the factor sequences conjecture, and a…

Combinatorics · Mathematics 2007-05-23 Anders Skovsted Buch

The principal result of this note is the existence of a complex topological orientation for Atiyah-Segal $\mathbb{T}$-equivariant K-theory which indexes the projective space of lines in complex (n+1)-space by the Fourier expansion $1 + q +…

K-Theory and Homology · Mathematics 2025-06-19 J Morava

We develop techniques for computing the equivariant local mirror symmetry of curves, i.e. mirror symmetry for O(k)+O(-2-k) over P^1 for k greater than 0. We also describe related methods for dealing with mirror symmetry of non-nef toric…

Algebraic Geometry · Mathematics 2010-10-27 Brian Forbes , Masao Jinzenji

We construct the generalized version of covariant Z_3-graded differential calculus introduced by one of us (R.K.), and then extended to the case of arbitrary Z_N grading. Here our main purpose is to establish the recurrence formulae for the…

Quantum Algebra · Mathematics 2007-05-23 R. Kerner , B. Niemeyer