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7.7.10 involut_lib
- Library:
- involut.lib
- Purpose:
- Computations and operations with involutions
- Authors:
- Oleksandr Iena, yena@mathematik.uni-kl.de,
Markus Becker, mbecker@mathematik.uni-kl.de,
Viktor Levandovskyy, levandov@mathematik.uni-kl.de
- Overview:
- Involution is an anti-automorphism of a non-commutative K-algebra
with the property that applied an involution twice, one gets an identity.
Involution is linear with respect to the ground field. In this library we
compute linear involutions, distinguishing the case of a diagonal matrix
(such involutions are called homothetic) and a general one.
Also, linear automorphisms of different order can be computed.
- Support:
- Forschungsschwerpunkt 'Mathematik und Praxis' (Project of Dr. E. Zerz
and V. Levandovskyy), Uni Kaiserslautern
- Remark:
- This library provides algebraic tools for computations and operations
with algebraic involutions and linear automorphisms of non-commutative algebras
Procedures:
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