189,603 research outputs found
Rota-Baxter operators on the polynomial algebras, integration and averaging operators
No full textThe concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x]
k[x]
. We consider two classes of Rota–Baxter operators, monomial ones and injective ones. For the first class, we apply averaging operators to determine monomial Rota–Baxter operators. For the second class, we make use of the double product on Rota–Baxter algebras
Yang-Baxter maps and the discrete KP hierarchy
No full textWe present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples
Baxter, R R, VX136
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370739Surname: BAXTER
Given Name(s) or Initials: R R
Military Service Number or Last Known Location: VX136
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 1785181094
Item: [2016.0049.03066] "Baxter, R R, VX136
Yang–Baxter endomorphisms
No full textEvery unitary solution of the Yang–Baxter equation (R-matrix) in dimension (Formula presented.) can be viewed as a unitary element of the Cuntz algebra (Formula presented.) and as such defines an endomorphism of (Formula presented.). These Yang–Baxter endomorphisms restrict and extend to several other (Formula presented.) - and von Neumann algebras, and furthermore define a II (Formula presented.) factor associated with an extremal character of the infinite braid group. This paper is devoted to a detailed study of such Yang–Baxter endomorphisms. We discuss the relative commutants of the subfactors induced by Yang–Baxter endomorphisms, a new perspective on algebraic operations on R-matrices such as tensor products and cabling powers, the characters of the infinite braid group defined by R-matrices, and ergodicity properties. This also yields new concrete information on partial traces and spectra of R-matrices
Dr. Bruce R. Baxter
No full textJane Brasted, Barbara Chapler, Dr. Bruce R. Baxter (new) 1937; Box 19Black and WhitePeople: Baxter, Bishop Bruce Richar
Baxter, R, VX7143
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370745Surname: BAXTER
Given Name(s) or Initials: R
Military Service Number or Last Known Location: VX7143
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 6653181100
Item: [2016.0049.03072] "Baxter, R, VX7143
Baxter, R J, NX29866
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370729Surname: BAXTER
Given Name(s) or Initials: R J
Military Service Number or Last Known Location: NX29866
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 36711181084
Item: [2016.0049.03056] "Baxter, R J, NX29866
Baxter, R Harley, VX25760
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370740Surname: BAXTER
Given Name(s) or Initials: R HARLEY
Military Service Number or Last Known Location: VX25760
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 19741181095
Item: [2016.0049.03067] "Baxter, R Harley, VX25760
Baxter, E R, NX767
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370734Surname: BAXTER
Given Name(s) or Initials: E R
Military Service Number or Last Known Location: NX767
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 2869181089
Item: [2016.0049.03061] "Baxter, E R, NX767
Baxter, J R, 419922
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370717Surname: BAXTER
Given Name(s) or Initials: J R
Military Service Number or Last Known Location: 419922
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 55724181072
Item: [2016.0049.03044] "Baxter, J R, 419922
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