Decompositions of algebras over \(\mathbb{R}\) and \(\mathbb{C}\)

DOI10.1007/BF01200061zbMath0774.68069MaRDI QIDQ685711

Wayne Eberly

Publication date: 10 October 1993

Published in: Computational Complexity (Search for Journal in Brave)

zbMATH Keywords

Wedderburn decompositionfinite-dimensional associative algebras

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30)

Related Items (16)

How to compute the Wedderburn decomposition of a finite-dimensional associative algebra ⋮ Graph algebras and the graph isomorphism problem ⋮ Algorithmic properties of maximal orders in simple algebras over \(\mathbb{Q}\) ⋮ Computing generators of the unit group of an integral Abelian group ring. ⋮ Geometry of free loci and factorization of noncommutative polynomials ⋮ An identification system based on the explicit isomorphism problem ⋮ Algorithms Based on *-Algebras, and Their Applications to Isomorphism of Polynomials with One Secret, Group Isomorphism, and Polynomial Identity Testing ⋮ Free loci of matrix pencils and domains of noncommutative rational functions ⋮ Noncommutative polynomials describing convex sets ⋮ Computing homomorphisms between holonomic \(D\)-modules ⋮ Determinant Equivalence Test over Finite Fields and over Q ⋮ From Independent Sets and Vertex Colorings to Isotropic Spaces and Isotropic Decompositions: Another Bridge between Graphs and Alternating Matrix Spaces ⋮ Explicit isomorphisms of quaternion algebras over quadratic global fields ⋮ Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras ⋮ A note on locality of algebras ⋮ Algebraic reduction methods and their applications to matrix continued fractions

Cites Work

• Decomposition of algebras over finite fields and number fields
• Algorithmic properties of maximal orders in simple algebras over \(\mathbb{Q}\)
• CHARACTERIZATION OF BLOW-UP FOR A SEMILINEAR HEAT EQUATION WITH A CONVECTION TERM
• Factoring Polynomials over Algebraic Number Fields
• Zero divisors in quaternion algebras
• An Exact Method for Finding the Roots of a Complex Polynomial
• Computing Irreducible Representations of Finite Groups
• New Methods for Reduction of Group Representations Using an Extension of Schur's Lemma
• New Methods for Reduction of Group Representations. II
• New Methods for Reduction of Group Representations. III
• New Methods for Reduction of Group Representations. IV

This page was built for publication: Decompositions of algebras over \(\mathbb{R}\) and \(\mathbb{C}\)