Publications

  1. W. T. Gan, H. Y. Loke, A. Paul and G. Savin, A family of Spin(8) dual pairs: the case of real groups. To appear in Progress of Mathematics. arXiv:2302.02492
  2. H. Y. Loke and G. Savin, Duality for spherical representations in exceptional theta correspondences. Transactions of the American Mathematical Society 371 (2019) 6359-6375. pdf arXiv:1705.07145
  3. H. Y. Loke and J.-j Ma, Local Theta Correspondences of Supercuspidal Representations. Annales Scientifiques de l École Normale Supérieure, 51(4), 927-991 (2018) arXiv:1512.01797
  4. H. Y. Loke, J.-j. Ma and G. Savin, Local theta correspondences between epipelagic supercuspidal representations. Math. Z. 283 no. 1, (2016) 169-196. pdf arXiv:1501.07069
  5. H. Y. Loke, J.-j. Ma and U-L. Tang, Associated cycles of local theta lifts of unitary characters and unitary lowest weight modules. Preprint. arXiv:1207.6451
  6. H. Y. Loke and J.-j. Ma, Invariants and $K$-spectrums of local theta lifts. Compositio Mathematica, volume 151, issue 01, (2014) 179-206. pdf arXiv:1302.1031
  7. H. Y. Loke and G. Savin, Rational forms of exceptional dual pairs. Journal of Algebra, 422 (2015), 683-696. pdf arXiv:1212.1957
  8. H. Y. Loke, J.-j. Ma and U.-L. Tang, Transfers of $K$-types on local theta lifts of characters and unitary lowest weight modules. Israel Journal of Mathematics, 201, no. 1 (2014), 1-24. pdf arXiv:1207.6454
  9. H. Y. Loke and G. Savin, On the maximal primitive ideal corresponding to the model nilpotent orbit. International Mathematics Research Notices, 2012, no. 24 (2012): 5731-5743. pdf
  10. H. Y. Loke and G. Savin, Representations of the two-fold central extensions of ${\mathrm{SL}}_2({\mathbb{Q}}_2)$. Pacific Journal of Mathematics, 247, no. 2 (2010), 435-454. arXiv:0902.1264
  11. H. Y. Loke and G. Savin, Modular forms on nonlinear double covers of algebraic groups. Transactions of the American Mathematical Society, 362 (2010), 4901-4920. pdf
  12. H. Y. Loke, $G_2(q)$ invariants of ${\mathrm{SO}}_8(q)$. Journal of Algebra, 321 (2009), 1-17. Link
  13. H. Y. Loke and G. Savin, Dual pair correspondences for non-linear covers of orthogonal groups. Journal of Functional Analysis, 225 (2008), 184-199. pdf
  14. H. Y. Loke and G. Savin, The smallest representations of non-linear covers of odd orthogonal groups. American Journal of Mathematics, 130 (2008), 963-979. pdf
  15. H. Y. Loke and G. Savin, On minimal representations of Chevalley groups of type ${\mathrm{D}}_n$, ${\mathrm{E}}_n$ and ${\mathrm{G}}_2$. Mathematische Annalen, 340 (2008), 195-208. pdf
  16. H. Y. Loke and G. Savin, On local lifts from ${\mathrm{G}}_2({\mathbb{R}})$ to ${\mathrm{Sp}}_6({\mathbb{R}})$ and $F_4({\mathbb{R}})$. Israel Journal of Mathematics, 159, no. 1 (2007), 349-371. pdf
  17. H. Y. Loke and G. Savin, Rank and matrix coefficients for simply laced groups. Journal fur die Reine und Angewandte Mathematik, 599 (2006), 201-216.
  18. H. Y. Loke, Howe quotients of unitary characters and unitary lowest weight modules. Representation Theory, 10 (2006). (An appendix by Lee Soo Teck). pdf
  19. H. Y. Loke, Exceptional Lie algebras with ${\mathrm{S}}_4$ structures over ${\mathbb{Z}}$. International Mathematics Research Notices, 63 (2004), 3391-3408.
  20. S. T. Lee and H. Y. Loke, Degenerate principal series representations of ${\mathrm{Sp}}(p,q)$. Israel Journal of Mathematics, 137 (2003), 355-379.
  21. H. Y. Loke, Quaternionic representations of exceptional Lie groups. Pacific Journal of Mathematics, 211, no. 2 (2003), 341-367.
  22. S. T. Lee and H. Y. Loke, Degenerate principal series representations of ${\mathrm{U}}(p,q)$ and ${\mathrm{Spin}}_0(p,q)$. Compositio Mathematica, 132, no. 3 (2002), 311-348. pdf
  23. H. Y. Loke, Trilinear forms of ${\mathfrak{gl}}_2$. Pacific Journal of Mathematics, 197, no. 1 (2001), 119-144. Link
  24. H. Y. Loke, Restrictions of quaternionic representations. Journal of Functional Analysis, 172, no. 2 (2000), 377-403. pdf
  25. H. Y. Loke, Dual pairs correspondences of ${\mathrm{E}}_{8,4}$ and ${\mathrm{E}}_{7,4}$. Israel Journal of Mathematics, 113 (1999), 125-162.
  26. H. Y. Loke and W. T. Gan, Modular forms of level p on the exceptional tube domain. Journal of the Ramanujan Mathematical Society, 12, no. 2 (1997), 161-202.

Preprints

  1. H. Y. Loke and T. Przebinda, A Cauchy–Harish-Chandra integral for a dual pair over a $p$-adic field, the definition and a conjecture. Preprint. arXiv:2303.02192
  2. H. Y. Loke and T. Przebinda, The character correspondence in the stable range over a p-adic field. Preprint. arXiv:2207.07298