Titles and Abstracts
... Title: Twisting, second quantization on noncommutative spaces and "finite" spacetime symmetry transformations Abstract: We first review our application of the twist-induced star-deformation procedure to second quantization on a noncommutative space(time). The procedure deforms, in a coordinated way, ...
... Title: Twisting, second quantization on noncommutative spaces and "finite" spacetime symmetry transformations Abstract: We first review our application of the twist-induced star-deformation procedure to second quantization on a noncommutative space(time). The procedure deforms, in a coordinated way, ...
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... is the Jones extension induced by a finite index depth 2 inclusion A ⊂ B of II1 factors, then Q = A0 ∩B2 admits a quantum groupoid structure and acts on B1 , so that B = B1Q and B2 = B1 o Q . Similarly, in Rehren (1997) ‘paragroups’ (derived from weak C*–Hopf algebras) comprise (quantum) groupoids o ...
... is the Jones extension induced by a finite index depth 2 inclusion A ⊂ B of II1 factors, then Q = A0 ∩B2 admits a quantum groupoid structure and acts on B1 , so that B = B1Q and B2 = B1 o Q . Similarly, in Rehren (1997) ‘paragroups’ (derived from weak C*–Hopf algebras) comprise (quantum) groupoids o ...
on line
... as follows. The “affine line” is described by the coordinate algebra k[x] (polynomials in one variable) with additive coproduct ∆x = x ⊗ 1 + 1 ⊗ x corresponding to addition in k . The reader can and should fill in the rest of the structure and verify that one has a Hopf algebra in fact for any field ...
... as follows. The “affine line” is described by the coordinate algebra k[x] (polynomials in one variable) with additive coproduct ∆x = x ⊗ 1 + 1 ⊗ x corresponding to addition in k . The reader can and should fill in the rest of the structure and verify that one has a Hopf algebra in fact for any field ...
Title: Some Combinatorial Problems Inherent in and Related
... the shadow of natural operations on graphs. This provides insights into the algebraic structure of the theory and sheds light on the combinatorial nature hidden behind its formalism. Practical utility of this approach is illustrated on examples resolved by methods of symbolic combinatorics. ...
... the shadow of natural operations on graphs. This provides insights into the algebraic structure of the theory and sheds light on the combinatorial nature hidden behind its formalism. Practical utility of this approach is illustrated on examples resolved by methods of symbolic combinatorics. ...
Congruences on orthomodular implication algebras
... classical logic only then the clone generated by this connective is not the clone of all Boolean functions. The algebraic counterpart of the mentioned case is the so-called implication algebra introduced and treated by Abbott. Similarly, an algebraic counterpart of the fragment of intuitionistic log ...
... classical logic only then the clone generated by this connective is not the clone of all Boolean functions. The algebraic counterpart of the mentioned case is the so-called implication algebra introduced and treated by Abbott. Similarly, an algebraic counterpart of the fragment of intuitionistic log ...