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Relevant bibliographies by topics / Witt index

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Journal articles

Academic literature on the topic 'Witt index'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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Journal articles on the topic "Witt index"

1

Sunderland, John, and Catherine Gordon. "The Witt Computer Index." Visual Resources 4, no. 2 (1987): 141–51. http://dx.doi.org/10.1080/01973762.1987.9659118.

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2

López-Díaz, M. C., and I. F. Rúa. "Witt index for Galois Ring valued quadratic forms." Finite Fields and Their Applications 16, no. 3 (2010): 175–86. http://dx.doi.org/10.1016/j.ffa.2010.02.003.

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3

Karpenko, Nikita A. "On the first Witt index of quadratic forms." Inventiones Mathematicae 153, no. 2 (2003): 455–62. http://dx.doi.org/10.1007/s00222-003-0294-7.

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4

Beale, Stephen, and D. K. Harrison. "A computation of the Witt index for rational quadratic forms." Aequationes Mathematicae 38, no. 1 (1989): 86–98. http://dx.doi.org/10.1007/bf01839497.

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5

Mühlherr, Bernhard, and Richard Weiss. "Orthogonal Tits Quadrangles." New Zealand Journal of Mathematics 52 (September 19, 2021): 427–52. http://dx.doi.org/10.53733/105.

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We show that every 4-plump razor-sharp normal Tits quadrangle X is uniquely determined by a non-degenerate quadratic space whose Witt index m is at least 2. If this Witt index is finite, then X is the Tits quadrangle arising from the corresponding building of type B_m or D_m by a standard construction.

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6

TANG, GANG, and YOUJUN TAN. "ON THE WITT INDEX OF THE BILINEAR FORM DETERMINED BY A LEONARD PAIR." Journal of Algebra and Its Applications 07, no. 06 (2008): 785–92. http://dx.doi.org/10.1142/s0219498808003156.

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Let a,b,d be nonnegative integers such that a + b = d + 1. Let ℝ be the field of real numbers. We prove that there is always a Leonard pair A, A⋆ of d + 1 by d + 1 matrices over ℝ such that the associated bilinear form of P. Terwilliger on ℝd + 1 has the Witt index a - b.

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7

Becher, Karim Johannes, and David B. Leep. "The Elman-Lam-Krüskemper Theorem." ISRN Algebra 2011 (June 28, 2011): 1–8. http://dx.doi.org/10.5402/2011/106823.

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For a (formally) real field K, the vanishing of a certain power of the fundamental ideal in the Witt ring of K(-1) implies that the same power of the fundamental ideal in the Witt ring of K is torsion free. The proof of this statement involves a fact on the structure of the torsion part of powers of the fundamental ideal in the Witt ring of K. This fact is very difficult to prove in general, but has an elementary proof under an assumption on the stability index of K. We present an exposition of these results.

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8

Herman, Allen. "A Constructive Brauer-Witt Theorem for Certain Solvable Groups." Canadian Journal of Mathematics 48, no. 6 (1996): 1196–209. http://dx.doi.org/10.4153/cjm-1996-063-1.

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AbstractDivision algebras occurring in simple components of group algebras of finite groups over algebraic number fields are studied. First, well-known restrictions are presented for the structure of a group that arises once no further Clifford Theory reductions are possible. For groups with these properties, a character-theoretic condition is given that forces the p-part of the division algebra part of this simple component to be generated by a predetermined p-quasi-elementary subgroup of the group, for any prime integer p. This is effectively a constructive Brauer-Witt Theorem for groups sat

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9

NOKHODKAR, A. H. "APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS." Bulletin of the Australian Mathematical Society 102, no. 3 (2020): 374–86. http://dx.doi.org/10.1017/s0004972720000106.

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A system of quadratic forms is associated to every generalised quadratic form over a division algebra with involution of the first kind in characteristic two. It is shown that this system determines the isotropy behaviour and the isometry class of generalised quadratic forms. An application of this construction to the Witt index of generalised quadratic forms is also given.

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10

Sobkowicz, P. "Competition between triticale (Triticosecale Witt.) and field beans (Vicia faba var. minor L.) in additive intercrops." Plant, Soil and Environment 52, No. 2 (2011): 47–54. http://dx.doi.org/10.17221/3345-pse.

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In a microplot experiment conducted in 1999 and 2000 on light soil triticale and field beans were grown as sole crops and in the intercrop system. Two pure stand plant densities were established: 200 and 400 plants/m<sup>2</sup> for triticale and 50 and 100 plants/m<sup>2</sup> for field beans. Four possible intercropping combinations were obtained by adding densities of both crops. Triticale was a better competitor than field beans in all intercrops resulting in competitive balance index significantly greater than zero. The number of pods per plant of field beans was s

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