Results 71 to 80 of about 2,642 (197)
Primitive ideals and automorphism group of Uq+(B2) [PDF]
, 2007 Let g be a complex simple Lie algebra of type B-2 and q be a nonzero complex number which is not a root of unity. In the classical case, a theorem of Dixmier asserts that the simple factor algebras of Gelfand-Kirillov dimension 2 of the positive part U ...
Launois, Stephane
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This paper, the fourth in a series, culminates the development of a novel paradigm termed **Transdimensional Mathematics**. This framework unifies continuous and discrete mathematical structures through the fundamental interaction of positive and negative spatial dimensions, with core relations such as $xX = a = \text{const.}$ describing an ...
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Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]
, 2014 We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
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Embedding Fundamental Aspects of the Relational Blockworld Interpretation in Geometric (or Clifford) Algebra [PDF]
, 2007 I summarize Silberstein, et. al’s (2006) discussion of the derivation of the Heisenberg commutators, whose work is based on Kaiser (1981, 1990) and Bohr, et. al. (1995, 2004a,b).
William M Kallfelz, Kallfelz, William
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Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
, 2008 There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries.
Willard Miller Jr. +5 more
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Root vectors of the composition algebra of the Kronecker algebra
, 2004 According to the canonical isomorphism between the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group Uq(g) and the generic composition algebra C(∆) of Λ, where the Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have ...
Chen, X.
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This monograph presents a complete, self-contained extension of Operational Mathematics– the theory of extending the repetition count of basic mathematical operations (addition,multiplication, exponentiation, tetration, and higher hyperoperations) from natural numbers to integers, rational numbers, real numbers, and complex numbers– to
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Automorphisms and twisted vertex operators [PDF]
, 1987 This work is an examination of various aspects of twisted vertex operator representations of Kac-Moody algebras. It starts with an introduction to Kac-Moody algebras and string theories, including a discussion of the propagation of strings on orbifolds ...
Myhill, R.G, Myhill, Richard Graham
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Disproofs of Bell, GHZ, and Hardy Type Theorems and the Illusion of Entanglement [PDF]
, 2009 An elementary topological error in Bell's representation of the EPR elements of reality is identified. Once recognized, it leads to a topologically correct local-realistic framework that provides exact, deterministic, and local underpinning of at least ...
Christian, Joy
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This paper proposes a new approach to describing fundamental interactions, based on the concept of an information quantum – an indivisible entity whose sole property is an integer information charge. An information interaction operation a∘ba∘b is introduced, which is non-commutative and describes three fundamentally different types of processes ...
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