Classical Groups and Geometric Algebra

By L. Grove. 2001

308 citations recorded by the source corpus.

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An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials (2006, unknown): “What is the Witt index of 〈·, ·〉? The definition of the Witt index is given in [36].”
Fusion categories and homotopy theory (2009, unknown): “g/ coincides with the Dickson invariant of g [8] (which is also known as Dickson’s pseudodeterminant [20]), while the usual determinant is trivial.”
Two linear transformations each tridiagonal with respect to an eigenbasis of the other: An Algebraic approach to the Askey scheme of orthogonal polynomials (2004, unknown): “What is the Witt index of 〈 , 〉? The definition of the Witt index is given in [36].”
Maxima of entries of Haar distributed matrices (2005, background): “above groups are equipped with the natural matrix product. For details, see [ 19 ] and [35].”
Applications of patching to quadratic forms and central simple algebras (2008, background): “The Witt index iW(q) of q is 2 dimqh; if q is regular this is the same as the dimension of any maximal totally isotropic subspace ([15], pp.”