932 research outputs found
Invariant Differential Operators for Non-Compact Lie Groups: the Sp(n,R) Case
In the present paper we continue the project of systematic construction of
invariant differential operators on the example of the non-compact algebras
sp(n,R), in detail for n=6. Our choice of these algebras is motivated by the
fact that they belong to a narrow class of algebras, which we call 'conformal
Lie algebras', which have very similar properties to the conformal algebras of
Minkowski space-time. We give the main multiplets and the main reduced
multiplets of indecomposable elementary representations for n=6, including the
necessary data for all relevant invariant differential operators. In fact, this
gives by reduction also the cases for n<6, since the main multiplet for fixed n
coincides with one reduced case for n+1.Comment: Latex2e, 27 pages, 8 figures. arXiv admin note: substantial text
overlap with arXiv:0812.2690, arXiv:0812.265
Atypical Representations of at Roots of Unity
We show how to adapt the Gelfand-Zetlin basis for describing the atypical
representation of when is root of
unity. The explicit construction of atypical representation is presented in
details for .Comment: 18 pages, Tex-file and 2 figures. Uuencoded, compressed and tared
archive of plain tex file and postscript figure file. Upon uudecoding,
uncompressing and taring, tex the file atypique.te
Explicit Character Formulae for Positive Energy UIRs of D=4 Conformal Supersymmetry
This paper continues the project of constructing the character formulae for
the positive energy unitary irreducible representations of the N-extended D=4
conformal superalgebras su(2,2/N). In the first paper we gave the bare
characters which represent the defining odd entries of the characters. Now we
give the full explicit character formulae for N=1 and for several important
examples for N=2 and N=4.Comment: 48 pages, TeX with Harvmac, overlap in preliminaries with
arXiv:hep-th/0406154; some comments and references adde
A Careers Perspective on Entrepreneurship
[Excerpt] What if being an entrepreneur were treated like any other occupation—teacher, nurse, manager? What if the decision to found a new venture were thought of as one of many options that individuals consider as they try to structure a meaningful and rewarding career? How would the field of entrepreneurship research be different? In our view, there is much to be learned by conceiving of entrepreneurship not solely as a final destination, but as a step along a career trajectory. Doing so opens the study of entrepreneurship to a wider range of scholarly insights, and promises important insights for entrepreneurial practice, training, and policy. This special issue takes an important step in this direction
The Spectrum of Yang Mills on a Sphere
In this note, we determine the representation content of the free, large N,
SU(N) Yang Mills theory on a sphere by decomposing its thermal partition
function into characters of the irreducible representations of the conformal
group SO(4,2). We also discuss the generalization of this procedure to finding
the representation content of N=4 Super Yang Mills.Comment: 18 pages v2. references added. typos fixe
CLINICAL APPLICATION CF THE AMYLASE-CREATININE INDEX FOR THE DIAGNOSIS OF ACUTE PANCREATITIS
No abstrac
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