References
Checked versions, exact passages, and their limits of applicability.
BRS · Lattices and buildings
Cristina M. Ballantine, John A. Rhodes and Thomas R. Shemanske. Hecke operators for GLₙ and buildings. Acta Arithmetica 112 (2) (2004), 131–140.
Publisher’s open copy · Use in Figure 1.
Metadata, §2.5 and the apartment diagram on printed p. 137 (PDF p. 7) checked 25 October 2026.
HKP · Iwahori-Hecke algebras
Thomas J. Haines, Robert E. Kottwitz and Amritanshu Prasad. Iwahori-Hecke algebras. Journal of the Ramanujan Mathematical Society 25 (2010), 113–145; arXiv:math/0309168v3 (16 April 2009).
Authoritative record · Checked open copy · Use on these pages.
Metadata and cited results checked 23 October 2026. Page numbers below refer to the specified version, not necessarily the journal pagination.
CY · Singularities of orbit closures in loop spaces of symmetric varieties
Tsao-Hsien Chen and Lingfei Yi. Singularities of orbit closures in loop spaces of symmetric varieties. arXiv:2310.20006v4 (10 July 2025), pp. 42–43. Preprint; no journal metadata asserted.
Authoritative record · Checked open copy · Use on these pages.
Metadata and cited results checked 23 October 2026. Page numbers below refer to the specified version, not necessarily the journal pagination.
SHT · Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces
Guy Shtotland. Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces. International Mathematics Research Notices 2026 (5), rnag042; doi:10.1093/imrn/rnag042. Result numbering checked in arXiv:2406.16070v3 (23 March 2026).
Authoritative record · Checked open copy · Use on these pages.
Metadata and cited results checked 23 October 2026. Page numbers below refer to the specified version, not necessarily the journal pagination.
KP · Cylindric symmetric functions and positivity
Christian Korff and David Palazzo. Cylindric symmetric functions and positivity. Algebraic Combinatorics 3 (1) (2020), 191–247; doi:10.5802/alco.90. Published version, PDF p. 27.
Authoritative record · Checked open copy · Use on these pages.
Metadata and cited results checked 23 October 2026. Page numbers below refer to the specified version, not necessarily the journal pagination.
CD · Étale motives
Denis-Charles Cisinski and Frédéric Déglise. Étale motives. Compositio Mathematica 152 (3) (2016), 556–666; doi:10.1112/S0010437X15007459. Numbering and page checked in the author-hosted preprint.
Authoritative record · Checked open copy · Use on these pages.
Metadata and cited results checked 23 October 2026. Page numbers below refer to the specified version, not necessarily the journal pagination.
ZHU · An introduction to affine Grassmannians and the geometric Satake equivalence
Xinwen Zhu. An introduction to affine Grassmannians and the geometric Satake equivalence. IAS/Park City Mathematics Series 24 (2017), 59–154; arXiv:1603.05593v2 (4 April 2016).
Authoritative record · Checked open copy · Use on these pages.
Metadata and cited results checked 23 October 2026. Page numbers below refer to the specified version, not necessarily the journal pagination.
Sun · Decomposition theorem
Shenghao Sun. Decomposition Theorem for Perverse sheaves on Artin stacks over finite fields. Duke Mathematical Journal 161 (12) (2012), 2297–2310; arXiv:1009.4398v3. Theorem 1.2 as transcluded on the Proposition II page.