q-Independence of the Jimbo–Drinfeld Quantization
نویسندگان
چکیده
منابع مشابه
Retracts and Q-independence
A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a1, a2, . . . , an of X implies f(p(a1), p(a2), . . . , p(an)) = g(p(a1), p(a2), . . . , p(an)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). W...
متن کاملTIME QUANTIZATION AND q-DEFORMATIONS
In a search to unravel the fabric of space at short distances, many authors have explored variations on ordinary quantum mechanics based on q-deformations of the canonical commutation relation, q being a parameter in the interval (0, 1) where 1 corresponds to the Bose limit, see for instance [1], [2], [4] Time quantization was considered also, see [3], [13]. On an entirely different line of res...
متن کاملFrame-Independence of Exclusive Amplitudes in the Light-Front Quantization
While the particle-number-conserving convolution formalism established in the Drell-Yan-West reference frame is frequently used to compute exclusive amplitudes in the light-front quantization, this formalism is limited to only those frames where the light-front helicities are not changed and the good (plus) component of the current remains unmixed. For an explicit demonstration of such criteria...
متن کاملLinear Independence of q-Logarithms over the Eisenstein Integers
For fixed complex q with |q| > 1, the q-logarithm Lq is the meromorphic continuation of the series ∑ n>0 z / q −1 , |z| < |q|, into the whole complex plane. IfK is an algebraic number field, one may ask if 1, Lq 1 , Lq c are linearly independent over K for q, c ∈ K× satisfying |q| > 1, c / q, q2, q3, . . .. In 2004, Tachiya showed that this is true in the Subcase K Q, q ∈ Z, c −1, and the prese...
متن کاملA note on Q-algebra and quantization
In this note, we study the application of Q-algebras to strict quantization. In the case of a torus with a constant Poisson structure, our quantization gives the same star product as Rieffel [8]. And in the case of a 2-sphere, our quantization produces the fuzzy sphere.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2020
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-019-03660-9