On extended umbral calculus, oscillator-like algebras and generalized Clifford algebra

2001 ◽  
Vol 11 (2) ◽  
pp. 273-285 ◽  
Author(s):  
A. K. Kwaśniewski
Keyword(s):  
Clifford Algebra ◽  
Umbral Calculus ◽  
Generalized Clifford Algebra

scholarly journals The generalized Clifford algebra and the unitary group

1969 ◽  
Vol 27 (1) ◽  
pp. 164-170 ◽  
Author(s):  
Alladi Ramakrishnan ◽  
P.S Chandrasekaran ◽  
N.R Ranganathan ◽  
T.S Santhanam ◽  
R Vasudevan
Keyword(s):  
Clifford Algebra ◽  
Unitary Group ◽  
Generalized Clifford Algebra

scholarly journals (q,σ,τ)-Differential Graded Algebras

Universe ◽  
2018 ◽  
Vol 4 (12) ◽  
pp. 138 ◽  
Author(s):  
Viktor Abramov ◽  
Olga Liivapuu ◽  
Abdenacer Makhlouf
Keyword(s):  
Clifford Algebra ◽  
Quantum Plane ◽  
Graded Algebra ◽  
Graded Algebras ◽  
Differential Graded Algebra ◽  
Differential Graded Algebras ◽  
Generalized Clifford Algebra

We propose the notion of ( q , σ , τ ) -differential graded algebra, which generalizes the notions of ( σ , τ ) -differential graded algebra and q-differential graded algebra. We construct two examples of ( q , σ , τ ) -differential graded algebra, where the first one is constructed by means of the generalized Clifford algebra with two generators (reduced quantum plane), where we use a ( σ , τ ) -twisted graded q-commutator. In order to construct the second example, we introduce the notion of ( σ , τ ) -pre-cosimplicial algebra.

scholarly journals Idempotent matrices from a generalized Clifford algebra

1969 ◽  
Vol 27 (3) ◽  
pp. 563-564 ◽  
Author(s):  
Alladi Ramakrishnan ◽  
P.S. Chandrasekaran ◽  
N.R. Ranganathan ◽  
T.S. Santhanam ◽  
R. Vasudevan
Keyword(s):  
Clifford Algebra ◽  
Generalized Clifford Algebra

scholarly journals Helicity matrices for generalized Clifford algebra

1969 ◽  
Vol 26 (2) ◽  
pp. 275-278 ◽  
Author(s):  
Alladi Ramakrishnan ◽  
T.S Santhanam ◽  
P.S Chandrasekaran ◽  
A Sundaram
Keyword(s):  
Clifford Algebra ◽  
Generalized Clifford Algebra

scholarly journals $(q,\sigma,\tau)$-Differential Graded Algebras

2018 ◽  
Author(s):  
Viktor Abramov ◽  
Olga Liivapuu ◽  
Abdenacer Makhlouf
Keyword(s):  
Clifford Algebra ◽  
Quantum Plane ◽  
Graded Algebra ◽  
Graded Algebras ◽  
Differential Graded Algebra ◽  
Differential Graded Algebras ◽  
Generalized Clifford Algebra

We propose a notion of $(q,\sigma,\tau)$-differential graded algebra, which generalizes the notions of $(\sigma,\tau)$-differential graded algebra and $q$-differential graded algebra. We construct two examples of $(q,\sigma,\tau)$-differential graded algebra, where the first one is constructed by means of generalized Clifford algebra with two generators (reduced quantum plane), where we use a $(\sigma,\tau)$-twisted graded $q$-commutator. In order to construct the second example, we introduce a notion of $(\sigma,\tau)$-pre-cosimplicial algebra.

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