Symmetries, Quantisation, and Positivity in Geometric Superanalysis

• Applicant: Privatdozent Dr. Alexander Alldridge
• Subject Area: Mathematics
• Term: from 2016 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 282448306

• Final Report Year: 2019

Final Report Abstract

No abstract available

Publications

• Non-Euclidean Fourier Inversion on Super-hyperbolic Space. Comm. Math. Phys. 351 (2017), no. 3, 1091–1126, DOI . Communications in Mathematical Physics, Vol. 351. 2017, pp. 1091–1126.
  A. Alldridge, W. Palzer
  (See online at https://doi.org/10.1007/s00220-016-2804-7)
• Schur Q-functions and the Capelli eigenvalue problem for the Lie superalgebra q(n). In: Jens G. Christensen, S. Dann, M. Dawson (Eds), Representation Theory and Harmonic Analysis on Symmetric Spaces. Contemporary Math., Vol. 714, American Mathematical Society, 2018, pp. 1–21, (DOI 10.1090/conm/714/14376).
  A. Alldridge, S. Sahi, H. Salmasian
  (See online at https://doi.org/10.1090/conm/714)
• Superorbits. Journal of the Institute of Mathematics of Jussieu, Vol. 17.2018, Issue 5, pp. 1065-1120.
  A. Alldridge, J. Hilgert, T. Wurzbacher
  (See online at https://doi.org/10.1017/S147474801600030X)
• Bulk-Boundary Correspondence for Disordered Free-Fermion Topological Phases. Communications in Mathematical Physics, Vol. 377. 2020, pp. 1761–1821.
  A. Alldridge, Ch. Max, M.R. Zirnbauer
  (See online at https://doi.org/10.1007/s00220-019-03581-7)