Results 11 to 20 of about 101 (45)

Capelli identity on multiparameter quantum linear groups

, 2017
A quantum Capelli identity is given on the multiparameter quantum general linear group based on the $(p_{ij}, u)$-condition. The multiparameter quantum Pfaffian of the $(p_{ij}, u)$-quantum group is also introduced and the transformation under the ...
Jing, Naihuan, Zhang, Jian
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Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

, 2018
Let $Sp(2,1)$ be the isometry group of the quaternionic hyperbolic plane ${{\bf H}_{\mathbb H}}^2$. An element $g$ in $Sp(2,1)$ is `hyperbolic' if it fixes exactly two points on the boundary of ${{\bf H}_{\mathbb H}}^2$.
Gongopadhyay, Krishnendu, Kalane, Sagar B.   +1 more
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Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra

, 2023
This paper presents the reduced biquaternion mixed least squares and total least squares (RBMTLS) method for solving an overdetermined system $AX \approx B$ in the reduced biquaternion algebra.
Ahmad, Sk. Safique, Bhadala, Neha
core  

Cokernels of random matrices satisfy the Cohen-Lenstra heuristics [PDF]

, 2013
Let A be an n by n random matrix with iid entries taken from the p-adic integers or Z/NZ. Then under mild non-degeneracy conditions the cokernel of A has a universal probability distribution.
Maples, Kenneth
core  

A system of dual quaternion matrix equations with its applications

, 2023
We employ the M-P inverses and ranks of quaternion matrices to establish the necessary and sufficient conditions for solving a system of the dual quaternion matrix equations $(AX, XC) = (B, D)$, along with providing an expression for its general solution.
Wang, Qing-Wen, Xie, Lv-Ming
core  

L-structure least squares solutions of reduced biquaternion matrix equations with applications

, 2023
This paper presents a framework for computing the structure-constrained least squares solutions to the generalized reduced biquaternion matrix equations (RBMEs). The investigation focuses on three different matrix equations: a linear matrix equation with
Ahmad, Sk. Safique, Bhadala, Neha
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Minor identities for Sklyanin determinants

, 2022
We study the invariant theory for the quantum symmetric spaces of orthogonal and symplectic types using techniques of the R-matrix. We explicitly realize the quantum symmetric spaces as subrings of the quantum coordinate ring $M_q(N)$ and study the ...
Jing, Naihuan, Zhang, Jian
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New binary self-dual codes via a generalization of the four circulant construction [PDF]

, 2019
In this work, we generalize the four circulant construction for self-dual codes. By applying the constructions over the alphabets $\mathbb{F}_2$, $\mathbb{F}_2+u\mathbb{F}_2$, $\mathbb{F}_4+u\mathbb{F}_4$, we were able to obtain extremal binary self-dual
Gildea, Joe, Kaya, Abidin, Yildiz, Bahattin   +2 more
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Subspace Profiles over Finite Fields and $q$-Whittaker Expansions of Symmetric Functions

, 2023
Bender, Coley, Robbins and Rumsey posed the problem of counting the number of subspaces which have a given profile with respect to a linear endomorphism defined on a finite vector space.
Ram, Samrith
core  

Spheres with more than 7 vector fields: all the fault of Spin(9)

, 2012
We give an interpretation of the maximal number of linearly independent vector fields on spheres in terms of the Spin(9) representation on R^16. This casts an insight on the role of Spin(9) as a subgroup of SO(16) on the existence of vector fields on ...
Parton, Maurizio, Piccinni, Paolo
core   +1 more source