Results 71 to 80 of about 405,321 (199)

Contractions of Lie algebras and algebraic groups [PDF]

arXiv, 2007
Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them.
arxiv  

Epistemology and Probability: Bohr, Heisenberg, Schrödinger, and the Nature of Quantum-Theoretical Thinking

, 2009
Introduction-Epistemology and Probability in Quantum Theory: Physics, Mathematics, and Philosophy.- Quantum Phenomena and the Double-Slit Experiment.- Heisenberg's Revolutions: New Kinematics, New Mathematics, and New Philosophy.- From Geometry to ...
A. Plotnitsky
semanticscholar   +1 more source

Clifford algebra, geometric algebra, and applications [PDF]

arXiv, 2009
These are lecture notes for a course on the theory of Clifford algebras, with special emphasis on their wide range of applications in mathematics and physics. Clifford algebra is introduced both through a conventional tensor algebra construction (then called geometric algebra) with geometric applications in mind, as well as in an algebraically more ...
arxiv  

3-Lie-Rinehart Algebras [PDF]

arXiv, 2019
In this paper, we define a class of 3-algebras which are called 3-Lie-Rinehart algebras. A 3-Lie-Rinehart algebra is a triple $(L, A, \rho)$, where $A$ is a commutative associative algebra, $L$ is an $A$-module, $(A, \rho)$ is a 3-Lie algebra $L$-module and $\rho(L, L)\subseteq Der(A)$.
arxiv  

Z_2^n grading of the classical Lie algebras [PDF]

arXiv, 2005
The Z_2^n gradings of the classical Lie algebras are described. To elucidate the grading, the classical Lie algebras are expressed in terms of matrix algebras over one of eight fields or Clifford algebras which carry gradings ranging from zero to Z_2^3.
arxiv  

Tetrahedral Hyperdimensional Algebra A New Mathematical Framework for Quantum Consciousness and Space-Time

 This work presents a unified hyperdimensional scientific framework — Tetrahedral Hypergeometry — which models all known phenomena, from quantum mechanics to consciousness, as recursive morphogenetic flows of Clifford-phase structures. Building on classical mathematics, modern physics, and visionary extensions, we&
openaire   +4 more sources

Homotopy chiral algebras [PDF]

arXiv
We define a notion of a homotopy chiral algebra (HCA), which means a chiral algebra up to higher homotopies, and prove that the Cech complex of a sheaf of chiral algebras admits a structure of a HCA.
arxiv  

A twisted generalization of Novikov-Poisson algebras [PDF]

arXiv, 2010
Hom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras, are studied. Hom-Novikov-Poisson algebras are shown to be closed under tensor products and several kinds of twistings. Necessary and sufficient conditions are given under which Hom-Novikov-Poisson algebras give rise to Hom-Poisson algebras.
arxiv  

The Fermionic Massless Modular Hamiltonian. [PDF]

Commun Math Phys
La Piana F, Morsella G.
europepmc   +1 more source

Operator-Valued Twisted Araki-Woods Algebras. [PDF]

Commun Math Phys
Kumar RR, Wirth M.
europepmc   +1 more source