Linear Algebra and its Applications, ISSN 0024-3795, 06/2018, Volume 546, p. 1

We classify, up to isomorphism and up to equivalence, involutions on graded-division finite-dimensional simple real (associative) algebras, when the grading...

Evaluation | Mathematical analysis | Classification | Linear algebra | Isomorphism

Evaluation | Mathematical analysis | Classification | Linear algebra | Isomorphism

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 06/2018, Volume 546, pp. 1 - 36

We classify, up to isomorphism and up to equivalence, involutions on graded-division finite-dimensional simple real (associative) algebras, when the grading...

Involution | Graded algebra | Division grading | Classification | Simple real algebra | MATHEMATICS | MATHEMATICS, APPLIED | GROUP GRADINGS | SIMPLE LIE-ALGEBRAS | Mathematics - Rings and Algebras

Involution | Graded algebra | Division grading | Classification | Simple real algebra | MATHEMATICS | MATHEMATICS, APPLIED | GROUP GRADINGS | SIMPLE LIE-ALGEBRAS | Mathematics - Rings and Algebras

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 03/2016, Volume 493, pp. 164 - 182

We classify, up to isomorphism and up to equivalence, division gradings (by abelian groups) on finite-dimensional simple real algebras. Gradings on...

Graded algebra | Division grading | Classification | Simple real algebra | MATHEMATICS | MATHEMATICS, APPLIED | Algebra | Mathematics - Rings and Algebras

Graded algebra | Division grading | Classification | Simple real algebra | MATHEMATICS | MATHEMATICS, APPLIED | Algebra | Mathematics - Rings and Algebras

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2018, Volume 506, pp. 1 - 42

For any abelian group , we classify up to isomorphism all -gradings on the classical central simple Lie algebras, except those of type , over the field of real...

Classical simple Lie algebra | Real algebra | Graded algebra | Graded module | Classification | MATHEMATICS | FINE GRADINGS | Algebra | Mathematics - Rings and Algebras

Classical simple Lie algebra | Real algebra | Graded algebra | Graded module | Classification | MATHEMATICS | FINE GRADINGS | Algebra | Mathematics - Rings and Algebras

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 5/2018, Volume 28, Issue 2, pp. 1 - 15

Some connections between quadratic forms over the field of two elements, Clifford algebras of quadratic forms over the real numbers, real graded division...

11E04 | 16W50 | Theoretical, Mathematical and Computational Physics | Division grading | Arf invariant | Real Clifford algebra | Physics | Mathematical Methods in Physics | Primary 15A66 | Applications of Mathematics | Physics, general | Quadratic form | Secondary 16S35 | Twisted group algebra | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Algebra | Mathematics - Rings and Algebras

11E04 | 16W50 | Theoretical, Mathematical and Computational Physics | Division grading | Arf invariant | Real Clifford algebra | Physics | Mathematical Methods in Physics | Primary 15A66 | Applications of Mathematics | Physics, general | Quadratic form | Secondary 16S35 | Twisted group algebra | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Algebra | Mathematics - Rings and Algebras

Journal Article

06/2018

English: This work is a doctoral thesis in mathematics by compendium of four articles. Here we explain, using a language as simple as possible, the results...

Journal Article

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