On some quadratic algebras

2000 ◽  
pp. 91-113 ◽  
Author(s):  
A. N. Kirillov
Keyword(s):  
Quadratic Algebras

RATIONAL DEGENERATION OF ELLIPTIC QUADRATIC ALGEBRAS

1992 ◽  
Vol 07 (supp01b) ◽  
pp. 773-779 ◽  
Author(s):  
ALEKSANDR V. ODESSKI
Keyword(s):  
Quadratic Algebras

scholarly journals ALGEBRAS ASSOCIATED TO PSEUDO-ROOTS OF NONCOMMUTATIVE POLYNOMIALS ARE KOSZUL

2005 ◽  
Vol 15 (04) ◽  
pp. 643-648 ◽  
Author(s):  
DMITRI PIONTKOVSKI
Keyword(s):  
Hilbert Series ◽  
Necessary Condition ◽  
Quadratic Algebras ◽  
Noncommutative Polynomials

Quadratic algebras associated to pseudo-roots of noncommutative polynomials have been introduced by I. Gelfand, Retakh, and Wilson in connection with studying the decompositions of noncommutative polynomials. Later they (with S. Gelfand and Serconek) showed that the Hilbert series of these algebras and their quadratic duals satisfy the necessary condition for Koszulity. It is proved in this note that these algebras are Koszul.

scholarly journals Bihamiltonian Structures and Quadratic Algebras in Hydrodynamics and on Non-Commutative Torus

2004 ◽  
Vol 250 (3) ◽  
pp. 581-612 ◽  
Author(s):  
B. Khesin ◽  
A. Levin ◽  
M. Olshanetsky
Keyword(s):  
Quadratic Algebras

Families of quadratic algebras and Hilbert series

2005 ◽  
pp. 119-131
Author(s):  
Alexander Polishchuk ◽  
Leonid Positselski
Keyword(s):  
Hilbert Series ◽  
Quadratic Algebras

scholarly journals Extended Laplace–Runge–Lentz vectors, new family of superintegrable systems and quadratic algebras

2019 ◽  
Vol 402 ◽  
pp. 78-90 ◽  
Author(s):  
Zhe Chen ◽  
Ian Marquette ◽  
Yao-Zhong Zhang
Keyword(s):  
Quadratic Algebras ◽  
New Family ◽  
Superintegrable Systems

QUADRATIC ALGEBRAS OF SKEW TYPE

2006 ◽  
Author(s):  
ERIC JESPERS ◽  
JAN OKNIŃSKI
Keyword(s):  
Quadratic Algebras
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