On explicit formulas for characteristic polynomial coefficients in geometric algebras

Abdulkhaev K.; D. Shirokov

doi:10.1007/978-3-030-89029-2_50

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On explicit formulas for characteristic polynomial coefficients in geometric algebras

P. 670–681.

Abdulkhaev K., Широков Д. С.

Язык: английский

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Ключевые слова: characteristic polynomial характеристический многочлен Clifford algebra алгебра Клиффорда geometric algebra геометрическая алгебра

В книге

Advances in Computer Graphics: 38th Computer Graphics International Conference, CGI 2021, Virtual Event, September 6–10, 2021, Proceedings

Springer, 2021.

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Explicit Formula for Inverse and Determinant in Geometric Algebras over Seven-dimensional Vector Spaces

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GLGENN: A Novel Parameter-Light Equivariant Neural Networks Architecture Based on Clifford Geometric Algebras

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Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras

Sharma H., Широков Д. С., Advances in Applied Clifford Algebras 2025 Vol. 35 Article 44

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Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras

Филимошина Е. Р., Широков Д. С., Advances in Applied Clifford Algebras 2025 Vol. 35 Article 29

This paper introduces and studies generalized degenerate Clifford and Lipschitz groups in geometric (Clifford) algebras. These Lie groups preserve the direct sums of the subspaces determined by the grade involution and reversion under the adjoint and twisted adjoint representations in degenerate geometric algebras. We prove that the generalized degenerate Clifford and Lipschitz groups can be ...

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Generalized Degenerate Clifford and Lipschitz Groups

Филимошина Е. Р., Dmitry Shirokov, , in: Advances in Computer Graphics: 41st Computer Graphics International Conference, CGI 2024, Geneva, Switzerland, July 1–5, 2024, Proceedings, Part IIIVol. 15340.: Springer, 2025. P. 364–376.

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On Multidimensional Dirac–Hestenes Equation in Geometric Algebra

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Calculation of Spin Group Elements Revisited

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