On the q-exponential of matrix q-Lie algebras

On the q-exponential of matrix q-Lie algebras

In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then...

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Bibliographic Details
Main Author: Ernst Thomas
Format: Article
Language:English
Published: De Gruyter 2017-01-01
Series:Special Matrices
Subjects:
Ring morphism
q-determinant
Nova q-addition
q-exponential function
q-Lie algebra
q-trace
biring
Primary 17B99
Secondary 17B37
33D15
Online Access:http://www.degruyter.com/view/j/spma.2017.5.issue-1/spma-2017-0003/spma-2017-0003.xml?format=INT

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http://www.degruyter.com/view/j/spma.2017.5.issue-1/spma-2017-0003/spma-2017-0003.xml?format=INT

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