GLORIA

GEOMAR Library Ocean Research Information Access

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
Document type
Publisher
Years
  • 1
    Electronic Resource
    Electronic Resource
    Quasifinite highest weight modules over the Lie algebra of differential operators on the circle (1993)
    Springer
    Communications in mathematical physics 157 (1993), S. 429-457 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We classify positive energy representations with finite degeneracies of the Lie algebraW 1+∞ and construct them in terms of representation theory of the Lie algebra $$\hat gl(\infty ,R_m )$$ of infinites matrices with finite number of non-zero diagonals over the algebraR m =ℂ[t]/(t m+1). The unitary ones are classified as well. Similar results are obtained for the sin-algebras.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02096878
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    A family of poisson structures on hermitian symmetric spaces (1993)
    Springer
    Communications in mathematical physics 152 (1993), S. 299-315 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We investigate the compatibility of symplectic Kirillov-Kostant-Souriau structure and Poisson-Lie structure on coadjoint orbits of semisimple Lie group. We prove that they are compatible for an orbit compact Lie group iff the orbit is hermitian symmetric space. We prove also the compatibility statement for non-compact hermitian symmetric space. As an example we describe a structure of symplectic leaves onCP n for this family. These leaves may be considered as a perturbation of Schubert cells. Possible applications to infinite-dimensional examples are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02098301
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    with central chargeN (1995)
    Springer
    Communications in mathematical physics 170 (1995), S. 337-357 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study representations of the central extension of the Lie algebra of differential operators on the circle, the algebra. We obtain complete and specialized character formulas for a large class of representations, which we call primitive; these include all quasi-finite irreducible unitary representations. We show that any primitive representation with central chargeN has a canonical structure of an irreducible representation of the with the same central charge and that all irreducible representations of with central chargeN arise in this way. We also establish a duality between “integral” modules of and finite-dimensional irreducible modules ofgl N , and conjecture their fusion rules.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02108332
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...