Manuel O'Ryan - Academia.edu (original) (raw)
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Papers by Manuel O'Ryan
Journal of Algebra, Sep 1, 1994
Journal of Pure and Applied Algebra, Aug 1, 2022
Journal of Pure and Applied Algebra, 2019
Experimental Mathematics, 2001
Linear Algebra and its Applications, Oct 1, 1996
Linear Algebra and its Applications, Sep 1, 2003
Communications in Algebra, Nov 22, 2019
Experimental Mathematics, 2007
Journal of Pure and Applied Algebra, Dec 1, 2018
Mathematische Zeitschrift, Jun 1, 1986
arXiv (Cornell University), Mar 20, 2007
arXiv (Cornell University), Mar 20, 2007
Linear & Multilinear Algebra, Nov 28, 2013
ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of charact... more ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of characteristic 0, whose centre (the analogue of the space of symmetric matrices of a bilinear form) is maximal, as a subalgebra of In a previous work (with S. Ryom-Hansen), we found several properties of the orthogonal group of d-linear spaces whose centre consists of powers of a single lineal map acting cyclically on the underlying vector space, called cyclic spaces. We extend those results to tensor products of cyclic spaces. In particular, we give a description of the orthogonal group of the product of two cyclic spaces.
Journal of Pure and Applied Algebra, Dec 1, 2013
Communications in Algebra
Abstract This article investigates the cohomological kernels of field extensions E/F in character... more Abstract This article investigates the cohomological kernels of field extensions E/F in characteristic two where separable part of E is a quadratic extension and E is quadratic or quartic and purely inseparable over Explicit generators for these kernels are described in both the normal and non-normal cases. The second part of the article gives a construction of an indecomposable division algebra D of index 8 and exponent 2 in characteristic two. The non-normal extensions E/F just considered can arise as maximal subfields of D while in the normal case such a maximal subfield will force a division algebra of exponent 2 to decompose.
Pacific Journal of Mathematics
Linear and Multilinear Algebra, 2013
ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of charact... more ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of characteristic 0, whose centre (the analogue of the space of symmetric matrices of a bilinear form) is maximal, as a subalgebra of In a previous work (with S. Ryom-Hansen), we found several properties of the orthogonal group of d-linear spaces whose centre consists of powers of a single lineal map acting cyclically on the underlying vector space, called cyclic spaces. We extend those results to tensor products of cyclic spaces. In particular, we give a description of the orthogonal group of the product of two cyclic spaces.
Linear Algebra and its Applications, 1996
Journal of Pure and Applied Algebra, 2009
Journal of Algebra, Sep 1, 1994
Journal of Pure and Applied Algebra, Aug 1, 2022
Journal of Pure and Applied Algebra, 2019
Experimental Mathematics, 2001
Linear Algebra and its Applications, Oct 1, 1996
Linear Algebra and its Applications, Sep 1, 2003
Communications in Algebra, Nov 22, 2019
Experimental Mathematics, 2007
Journal of Pure and Applied Algebra, Dec 1, 2018
Mathematische Zeitschrift, Jun 1, 1986
arXiv (Cornell University), Mar 20, 2007
arXiv (Cornell University), Mar 20, 2007
Linear & Multilinear Algebra, Nov 28, 2013
ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of charact... more ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of characteristic 0, whose centre (the analogue of the space of symmetric matrices of a bilinear form) is maximal, as a subalgebra of In a previous work (with S. Ryom-Hansen), we found several properties of the orthogonal group of d-linear spaces whose centre consists of powers of a single lineal map acting cyclically on the underlying vector space, called cyclic spaces. We extend those results to tensor products of cyclic spaces. In particular, we give a description of the orthogonal group of the product of two cyclic spaces.
Journal of Pure and Applied Algebra, Dec 1, 2013
Communications in Algebra
Abstract This article investigates the cohomological kernels of field extensions E/F in character... more Abstract This article investigates the cohomological kernels of field extensions E/F in characteristic two where separable part of E is a quadratic extension and E is quadratic or quartic and purely inseparable over Explicit generators for these kernels are described in both the normal and non-normal cases. The second part of the article gives a construction of an indecomposable division algebra D of index 8 and exponent 2 in characteristic two. The non-normal extensions E/F just considered can arise as maximal subfields of D while in the normal case such a maximal subfield will force a division algebra of exponent 2 to decompose.
Pacific Journal of Mathematics
Linear and Multilinear Algebra, 2013
ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of charact... more ABSTRACT We consider -linear () spaces of dimension over an algebraically closed field of characteristic 0, whose centre (the analogue of the space of symmetric matrices of a bilinear form) is maximal, as a subalgebra of In a previous work (with S. Ryom-Hansen), we found several properties of the orthogonal group of d-linear spaces whose centre consists of powers of a single lineal map acting cyclically on the underlying vector space, called cyclic spaces. We extend those results to tensor products of cyclic spaces. In particular, we give a description of the orthogonal group of the product of two cyclic spaces.
Linear Algebra and its Applications, 1996
Journal of Pure and Applied Algebra, 2009