Websymplectic bundles we prove that the smooth locus of M Sp 2r is exactly the set of regularly stable symplectic bundles (for r >2). This proof, which requires a precise description of bundles associated to points of the moduli spaces, cannot be extended to another group G without a good understanding of the nature of these bundles. Acknowledgements. WebThe extended theory is a “modular functor” ... Verlinde representations ρ U (1), k factor through the metaplectic representation of the double cover M p 2 g (Z) of the symplectic group. The vector space for a genus g surface at level k is a k g dimensional space of theta-functions: H 0 ...
II.C. Symplectic groups
WebNov 22, 2016 · Abstract and Figures We study the covariance property of quadratic time-frequency distributions with respect to the action of the extended symplectic group. We show how covariance is related, and... WebThe symplectic group Sp (2, ℝ) is a three-parameter Lie group, which consists of all 2 × 2 real unimodular matrices S. The unimodularity of elements in Sp (2, ℝ) is equivalent to … cleveland high catchment
Mapping class group of a surface - Wikipedia
The symplectic group is a classical group defined as the set of linear transformations of a 2n-dimensional vector space over the field F which preserve a non-degenerate skew-symmetric bilinear form. Such a vector space is called a symplectic vector space, and the symplectic group of an abstract … See more In mathematics, the name symplectic group can refer to two different, but closely related, collections of mathematical groups, denoted Sp(2n, F) and Sp(n) for positive integer n and field F (usually C or R). The latter is called the … See more The compact symplectic group Sp(n) is the intersection of Sp(2n, C) with the $${\displaystyle 2n\times 2n}$$ unitary group: It is sometimes written as USp(2n). Alternatively, Sp(n) … See more • Orthogonal group • Unitary group • Projective unitary group See more Every complex, semisimple Lie algebra has a split real form and a compact real form; the former is called a complexification of the latter two. See more Classical mechanics The compact symplectic group Sp(n) comes up in classical physics as the symmetries of canonical coordinates preserving the Poisson bracket. Consider a system of n particles, evolving under See more WebApr 11, 2024 · Find many great new & used options and get the best deals for On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of... at the best online prices at eBay! ... This item has an extended handling time and a delivery estimate greater than 6 business days. Returns: Seller does not accept returns. WebJun 15, 2024 · Over a $p$-adic local field $F$ of characteristic zero, we develop a new type of harmonic analysis on an extended symplectic group $G={\mathbb … bm800 microphone drivers