Set-theoretical reflection equation: classification of reflection maps
نویسندگان
چکیده
منابع مشابه
Reflection Equation
Reflection equation algebras and related Uq(g)-comodule algebras appear in various constructions of quantum homogeneous spaces and can be obtained via transmutation or equivalently via twisting by a cocycle. In this paper we investigate algebraic and representation theoretic properties of such so called ‘covariantized’ algebras, in particular concerning their centres, invariants, and characters...
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Could it be that the above questions have resisted solution because we haven’t tapped into the full strength of “proper?” Let us focus on the second question for a moment. Consider the following analogy. Recall that a forcing Q satisfies the countable chain condition (c.c.c.) if every uncountable collection of conditions in Q contains two compatible conditions. Similarly, a forcing Q satisfies ...
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With any involutive anti-algebra and coalgebra automorphism of a quasitriangular bialgebra we associate a reflection equation algebra. A Hopf algebraic treatment of the reflection equation of this type and its universal solution is given. Applications to the twisted Yangians are considered.
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In tomography it has been recognized that the finiteness of the frequency content of seismic data leads to interference effects in the process of medium reconstruction, that need to be accounted for. Various ways of looking at these effects in the framework of transmission tomography can be found in the literature. Here, we consider single-scattered body waves and develop from our earlier work ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/46/9/095203