QPFT operator algebras and commutative exterior differential calculus

1992 ◽  
Vol 93 (1) ◽  
pp. 1101-1105 ◽  
Author(s):  
D. V. Yur'ev
Keyword(s):  
Differential Calculus ◽  
Operator Algebras ◽  
Exterior Differential

Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint

Econometrica ◽  
1999 ◽  
Vol 67 (6) ◽  
pp. 1435-1457 ◽  
Author(s):  
P. A. Chiappori ◽  
I. Ekeland
Keyword(s):  
Differential Calculus ◽  
Market Demand ◽  
Exterior Differential

PARAMETER-DEPENDENT CORNER OPERATORS

2013 ◽  
Vol 06 (01) ◽  
pp. 1350002 ◽  
Author(s):  
W. Rungrottheera
Keyword(s):  
Differential Calculus ◽  
Operator Algebras ◽  
Specific Order ◽  
Parameter Dependent

We perform a parameter-dependent pseudo-differential calculus of operators on a corner manifold and construct specific order reducing elements in the corresponding operator algebras.

A NEW APPROACH IN BICOVARIANT DIFFERENTIAL CALCULUS ON SUq(2)

2007 ◽  
Vol 04 (07) ◽  
pp. 1087-1097 ◽  
Author(s):  
Z. BENTALHA ◽  
M. TAHIRI
Keyword(s):  
Lie Algebra ◽  
Differential Calculus ◽  
Exterior Product ◽  
New Approach ◽  
Exterior Differential ◽  
Bicovariant Differential Calculus ◽  
Structure Constants

When reviewing the work of Aschieri–Castellani concerning the bicovariant differential calculus on GLq(2), we remarked that a peculiar basis within the space of quantum one-forms over SUq(2) can lead to a new bicovariant differential calculus on SUq(2) easy to handle than those known in the literature. New results have been obtained for the exterior product, the exterior differential, the C-structure constants, the Cartan–Maurer equations, and the q-Lie algebra.

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