ALGEBRAIC QUANTUM HYPERGROUPS II: CONSTRUCTIONS AND EXAMPLES
نویسندگان
چکیده
منابع مشابه
Algebraic Quantum Hypergroups
An algebraic quantum group is a regular multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There is also an antipode but it is char...
متن کاملAlgebraic Quantum Hypergroups
An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There is also an antipode but it is characterize...
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4. Examples. 7 4.1. Rigid rotation of a compact group. 7 4.2. Adding machines. 7 4.3. Interval Exchange Maps. 8 4.4. Full shifts and shifts of finite type. 9 4.5. More examples of subshifts. 10 4.5.1. Prouhet-Thue-Morse 11 4.5.2. Chacon system 11 4.5.3. Sturmian systems 11 4.5.4. Toeplitz systems 11 4.5.5. Sofic systems 11 4.5.6. Context-free systems 12 4.5.7. Coded systems 12 4.6. Smooth expan...
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Motivated by a connection, described here for the first time, between the hidden normal subgroup problem (HNSP) and abelian hypergroups (algebraic objects that model collisions of physical particles), we develop a stabilizer formalism using abelian hypergroups and an associated classical simulation theorem (a la Gottesman-Knill). Using these tools, we develop the first provably efficient quantu...
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This paper studies the algebraic structure of transposition hypergroups with idempotent identity. Their subhypergroups and their properties are examined. Right, left and double cosets are defined through symmetric subhypergroups and their properties are studied. Further- more, this paper examines the homomorphisms, the behaviour of attrac- tive and non-attractive elements through them, as well ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2011
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x11006830