Matches in SemOpenAlex for { <https://semopenalex.org/work/W1853573473> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W1853573473 abstract "We consider the group M of all polynomial matrices = + + +...+Uk*z*...*z, k=0,1,... that satisfy equation U(z)*D*U(z) = D with the diagonal n*n matrix D=diag{-1,1,1,...1}. Here n > 1, U(z) = U0 + U1*z + U2*z*z + ..., and symbol for a constant matrix A denotes the Hermitiean conjugate of A. We show that the subgroup M0 of those in M, that are normalized by the condition U(0)=I, is the free product of certain groups. The matrices in each group-multiples are explicitly and uniquely parametrized so that every U=U(z) in M0 can be represented in the form U = G1 * G2 * ... * Gs with n*n polynomial matrix multiples G1, G2, ..., each of which belong to its group-multiple, and so that any two consecutive Gi and G(i+1) belong to two different group-multiples. The uniqueness of such parametrization for a given U includes the number of multiples s, their particular sequence G1,G2,... and the multiples themselves with their respective parametrization; all these items can be defined in only one way once the U is given." @default.
- W1853573473 created "2016-06-24" @default.
- W1853573473 creator A5060394886 @default.
- W1853573473 date "2001-07-04" @default.
- W1853573473 modified "2023-09-27" @default.
- W1853573473 title "The Structure of The Group of Polynomial Matrices Unitary in The Indefinite Metric of Index 1" @default.
- W1853573473 hasPublicationYear "2001" @default.
- W1853573473 type Work @default.
- W1853573473 sameAs 1853573473 @default.
- W1853573473 citedByCount "0" @default.
- W1853573473 crossrefType "posted-content" @default.
- W1853573473 hasAuthorship W1853573473A5060394886 @default.
- W1853573473 hasConcept C106487976 @default.
- W1853573473 hasConcept C113313756 @default.
- W1853573473 hasConcept C114614502 @default.
- W1853573473 hasConcept C118615104 @default.
- W1853573473 hasConcept C121332964 @default.
- W1853573473 hasConcept C130367717 @default.
- W1853573473 hasConcept C134306372 @default.
- W1853573473 hasConcept C159985019 @default.
- W1853573473 hasConcept C17744445 @default.
- W1853573473 hasConcept C192562407 @default.
- W1853573473 hasConcept C199539241 @default.
- W1853573473 hasConcept C2524010 @default.
- W1853573473 hasConcept C2777021972 @default.
- W1853573473 hasConcept C2781311116 @default.
- W1853573473 hasConcept C33923547 @default.
- W1853573473 hasConcept C62520636 @default.
- W1853573473 hasConcept C67820243 @default.
- W1853573473 hasConcept C90119067 @default.
- W1853573473 hasConcept C96214315 @default.
- W1853573473 hasConceptScore W1853573473C106487976 @default.
- W1853573473 hasConceptScore W1853573473C113313756 @default.
- W1853573473 hasConceptScore W1853573473C114614502 @default.
- W1853573473 hasConceptScore W1853573473C118615104 @default.
- W1853573473 hasConceptScore W1853573473C121332964 @default.
- W1853573473 hasConceptScore W1853573473C130367717 @default.
- W1853573473 hasConceptScore W1853573473C134306372 @default.
- W1853573473 hasConceptScore W1853573473C159985019 @default.
- W1853573473 hasConceptScore W1853573473C17744445 @default.
- W1853573473 hasConceptScore W1853573473C192562407 @default.
- W1853573473 hasConceptScore W1853573473C199539241 @default.
- W1853573473 hasConceptScore W1853573473C2524010 @default.
- W1853573473 hasConceptScore W1853573473C2777021972 @default.
- W1853573473 hasConceptScore W1853573473C2781311116 @default.
- W1853573473 hasConceptScore W1853573473C33923547 @default.
- W1853573473 hasConceptScore W1853573473C62520636 @default.
- W1853573473 hasConceptScore W1853573473C67820243 @default.
- W1853573473 hasConceptScore W1853573473C90119067 @default.
- W1853573473 hasConceptScore W1853573473C96214315 @default.
- W1853573473 hasLocation W18535734731 @default.
- W1853573473 hasOpenAccess W1853573473 @default.
- W1853573473 hasPrimaryLocation W18535734731 @default.
- W1853573473 hasRelatedWork W1482109912 @default.
- W1853573473 hasRelatedWork W1975076747 @default.
- W1853573473 hasRelatedWork W1982947218 @default.
- W1853573473 hasRelatedWork W1983749686 @default.
- W1853573473 hasRelatedWork W1984168045 @default.
- W1853573473 hasRelatedWork W1986489868 @default.
- W1853573473 hasRelatedWork W1989492643 @default.
- W1853573473 hasRelatedWork W2059611326 @default.
- W1853573473 hasRelatedWork W2062447395 @default.
- W1853573473 hasRelatedWork W2076659723 @default.
- W1853573473 hasRelatedWork W2092922409 @default.
- W1853573473 hasRelatedWork W2093959994 @default.
- W1853573473 hasRelatedWork W2094535391 @default.
- W1853573473 hasRelatedWork W2111531128 @default.
- W1853573473 hasRelatedWork W2373449067 @default.
- W1853573473 hasRelatedWork W2498183850 @default.
- W1853573473 hasRelatedWork W2952546918 @default.
- W1853573473 hasRelatedWork W3009686014 @default.
- W1853573473 hasRelatedWork W3107016864 @default.
- W1853573473 hasRelatedWork W3198583895 @default.
- W1853573473 isParatext "false" @default.
- W1853573473 isRetracted "false" @default.
- W1853573473 magId "1853573473" @default.
- W1853573473 workType "article" @default.