Analysis of the basic matrix representation ofGL q(2,C)

1990 ◽  
Vol 48 (1) ◽  
pp. 65-74 ◽  
Author(s):  
S. P. Vokos ◽  
B. Zumino ◽  
J. Wess
Keyword(s):  
Matrix Representation ◽  
Basic Matrix

Elements of the Basic Matrix for Integrating Marital and Family Therapy

1990 ◽  
Vol 35 (3) ◽  
pp. 280-281
Author(s):  
Cas Schaap ◽  
Kees Hoogduin
Keyword(s):  
Family Therapy ◽  
Marital And Family Therapy ◽  
Basic Matrix

Completely simple semigroups: free products, free semigroups and varieties

1981 ◽  
Vol 88 (3-4) ◽  
pp. 293-313 ◽  
Author(s):  
P. R. Jones
Keyword(s):  
Matrix Representation ◽  
Maximal Subgroups ◽  
Lattice Of Varieties ◽  
Free Products ◽  
Completely Simple Semigroups ◽  
Countable Rank ◽  
Free Semigroups ◽  
Abelian Subgroups ◽  
And Inversion ◽  
Completely Simple

SynopsisThe class CS of completely simple semigroups forms a variety under the operations of multiplication and inversion (x−1 being the inverse of x in its ℋ-class). We determine a Rees matrix representation of the CS-free product of an arbitrary family of completely simple semigroups and deduce a description of the free completely simple semigroups, whose existence was proved by McAlister in 1968 and whose structure was first given by Clifford in 1979. From this a description of the lattice of varieties of completely simple semigroups is given in terms of certain subgroups of a free group of countable rank. Whilst not providing a “list” of identities on completely simple semigroups it does enable us to deduce, for instance, the description of all varieties of completely simple semigroups with abelian subgroups given by Rasin in 1979. It also enables us to describe the maximal subgroups of the “free” idempotent-generated completely simple semigroups T(α, β) denned by Eberhart et al. in 1973 and to show in general the maximal subgroups of the “V-free” semigroups of this type (which we define) need not be free in any variety of groups.

scholarly journals Wideband generalized admittance matrix representation for the analysis and design of waveguide filters with coaxial excitation

Radio Science ◽  
2013 ◽  
Vol 48 (1) ◽  
pp. 50-60 ◽  
Author(s):  
Fermín Mira ◽  
Ángel A. San Blas ◽  
Vicente E. Boria ◽  
Luis J. Roglá ◽  
Benito Gimeno
Keyword(s):  
Matrix Representation ◽  
Analysis And Design ◽  
Admittance Matrix ◽  
Waveguide Filters

scholarly journals Chirality in Geometric Algebra

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1521
Author(s):  
Michel Petitjean
Keyword(s):  
Geometric Algebra ◽  
Orthogonal Group ◽  
Matrix Representation ◽  
Quadratic Space ◽  
Complex Numbers ◽  
Chiral Algebra

We define chirality in the context of chiral algebra. We show that it coincides with the more general chirality definition that appears in the literature, which does not require the existence of a quadratic space. Neither matrix representation of the orthogonal group nor complex numbers are used.

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