A Note on quantum structure constants

Leonardo CASTELLANI; M. A. R. MONTEIRO

A Note on quantum structure constants

Leonardo CASTELLANI, M. A. R. MONTEIRO

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista

Abstract

The Cartan-Maurer equations for any g-group of the A_n-1, B_n, C_n, D_n series are given in a convenient form, which allows their direct computation and clarifies their connection with the q = 1 case. These equations, defining the field strengths, are essential in the construction of q-deformed gauge theories. An explicit expression ωⁱ∧ω^j=⇔Zⁱ_klω^k∧ω^l for the q-communications or left-invariant one-forms is found, with {A figure is presented}.

Lingua originale	Inglese
pagine (da-a)	25-30
Numero di pagine	6
Rivista	PHYSICS LETTERS. SECTION B
Volume	314
Stato di pubblicazione	Pubblicato - 1993

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title = "A Note on quantum structure constants",

abstract = "The Cartan-Maurer equations for any g-group of the An-1, Bn, Cn, Dn series are given in a convenient form, which allows their direct computation and clarifies their connection with the q = 1 case. These equations, defining the field strengths, are essential in the construction of q-deformed gauge theories. An explicit expression ωi∧ωj=⇔Ziklωk∧ωl for the q-communications or left-invariant one-forms is found, with \{A figure is presented\}.",

author = "Leonardo CASTELLANI and MONTEIRO, \{M. A. R.\}",

year = "1993",

language = "English",

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AU - CASTELLANI, Leonardo

AU - MONTEIRO, M. A. R.

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N2 - The Cartan-Maurer equations for any g-group of the An-1, Bn, Cn, Dn series are given in a convenient form, which allows their direct computation and clarifies their connection with the q = 1 case. These equations, defining the field strengths, are essential in the construction of q-deformed gauge theories. An explicit expression ωi∧ωj=⇔Ziklωk∧ωl for the q-communications or left-invariant one-forms is found, with {A figure is presented}.

AB - The Cartan-Maurer equations for any g-group of the An-1, Bn, Cn, Dn series are given in a convenient form, which allows their direct computation and clarifies their connection with the q = 1 case. These equations, defining the field strengths, are essential in the construction of q-deformed gauge theories. An explicit expression ωi∧ωj=⇔Ziklωk∧ωl for the q-communications or left-invariant one-forms is found, with {A figure is presented}.

UR - https://iris.uniupo.it/handle/11579/3372

M3 - Article

SN - 0370-2693

VL - 314

SP - 25

EP - 30

JO - PHYSICS LETTERS. SECTION B

JF - PHYSICS LETTERS. SECTION B

ER -

A Note on quantum structure constants

Abstract

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