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Introduction to Noncommutative Algebraic Geometry (First Draft)

open access: yes, 2015
This Lecture Notes is meant to introduce noncommutative algebraic geometry tools (which were invented by M. Artin, W. Schelter, J. Tate, and M. Van den Bergh in the late 1980s) and also graded skew Clifford algebras (which were introduced by T. Cassidy and M. Vancliff).
openaire   +2 more sources

Introduction to Hopf algebras in renormalization and noncommutative geometry

open access: yes, 1999
We review the appearance of Hopf algebras in the renormalization of quantum field theories and in the study of diffeomorphisms of the frame bundle important for index computations in noncommutative geometry.
openaire   +2 more sources

Doubling of the algebra and neutrino mixing within noncommutative spectral geometry [PDF]

open access: diamond, 2014
Maria Vittoria Gargiulo   +2 more
openalex   +1 more source

Integer partitions detect the primes. [PDF]

open access: yesProc Natl Acad Sci U S A
Craig W, van Ittersum JW, Ono K.
europepmc   +1 more source

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