29717: initial version

build/pkgs/cubic_hecke_marin/SPKG.txt

@@ -0,0 +1,17 @@
+=  Cubic Hecke Algebra Database =
+
+== Description ==
+
+Iwan Marin's basis and matrix representations for the cubic Hecke algebra on 4 strands
+as given on 'http://www.lamfa.u-picardie.fr/marin/softs/H4
+
+== Dependencies ==
+
+ * Sage library
+
+== Changelog ==
+
+=== cubic_hecke_marin-20200513.tar.bz2 (Sebastian Oehms, 13 May 2020) ===
+
+ * #?????: Initial version
+

build/pkgs/cubic_hecke_marin/checksums.ini

@@ -0,0 +1,5 @@
+tarball=cubic_hecke_marin-20200513.tar.bz2
+sha1=0afb0716b224b66fdd67b9b6e75b911030d15e1c
+md5=3ee0a0a4fc5a7739ad9932391d2d10b5
+cksum=398008749
+upstream_url=https://trac.sagemath.org/attachment/ticket/29717/cubic_hecke_marin-20200513.tar.bz2

build/pkgs/cubic_hecke_marin/dependencies

@@ -0,0 +1,5 @@
+| $(SAGERUNTIME)
+
+----------
+All lines of this file are ignored except the first.
+It is copied by SAGE_ROOT/build/make/install into SAGE_ROOT/build/make/Makefile.

build/pkgs/cubic_hecke_marin/package-version.txt

@@ -0,0 +1 @@
+20200513

build/pkgs/cubic_hecke_marin/spkg-install.in

@@ -0,0 +1,21 @@
+INSTALL="yes"
+TARGET="${SAGE_SHARE}/cubic_hecke_marin"
+VERSION=`cat package-version.txt`
+if [ -d $TARGET ]
+then
+    diff package-version.txt $TARGET > /dev/null 2>&1
+    if [ $? -eq 0 ]
+    then
+        INSTALL="no"
+        echo "Version $VERSION of cubic_hecke_marin already installed"
+    else
+        OLD_VERSION=`cat $TARGET/package-version.txt`
+        echo "Removing former version $OLD_VERSION of cubic_hecke_marin"
+        rm -rf $TARGET
+    fi
+fi
+
+if [ "$INSTALL" = "yes" ]
+then
+    exec sage-python23 spkg-install.py
+fi

build/pkgs/cubic_hecke_marin/spkg-install.py

@@ -0,0 +1,17 @@
+import os
+from sage.all import save
+from sage.env import SAGE_SHARE
+from sage.misc.misc import sage_makedirs
+from sage.databases.cubic_hecke_db import CubicHeckeDataBase
+
+install_root = os.path.join(SAGE_SHARE, 'cubic_hecke_marin')
+
+if __name__ == '__main__':
+    sage_makedirs(install_root)
+    print("Creating Iwan Marin's Cubic Hecke database.")
+    cha_db = CubicHeckeDataBase()
+    cha_db.create_static_db_marin_basis()
+    cha_db.create_static_db_marin_regular()
+    cha_db.create_static_db_marin_regular(right=True)
+    cha_db.create_static_db_marin_split()
+    os.system('cp package-version.txt %s' %install_root)

build/pkgs/cubic_hecke_marin/type

@@ -0,0 +1 @@
+standard

src/doc/en/reference/algebras/cubic_hecke_algebra.rst

@@ -0,0 +1,10 @@
+Cubic Hecke Algebras
+====================
+
+.. toctree::
+   :maxdepth: 2
+
+   sage/algebras/hecke_algebras/cubic_hecke_algebra
+   sage/algebras/hecke_algebras/base_rings_of_definition/cubic_hecke_base_ring
+   sage/algebras/hecke_algebras/matrix_representations/cubic_hecke_matrix_rep
+

src/doc/en/reference/algebras/index.rst

@@ -77,6 +77,7 @@ Hecke algebras
    sage/algebras/iwahori_hecke_algebra
    sage/algebras/nil_coxeter_algebra
    sage/algebras/yokonuma_hecke_algebra
+   cubic_hecke_algebra
 
 Various associative algebras
 ----------------------------

src/doc/en/reference/references/index.rst

@@ -1418,6 +1418,10 @@ REFERENCES:
              \J. Algebr. Comb. **39** (2014) pp. 17-51.
              :doi:`10.1007/s10801-013-0437-x`, :arxiv:`1108.1776`.
 
+.. [CM2012] \M. Cabanes, I. Marin, *On ternary quotients of cubic Hecke
+             algebras*, Comm. Math. Phys. (2012), Volume 314, Issue 1,
+             pp 57-92. :doi:`10.1007/s00220-012-1519-7`, :arxiv:`1010.1465`.
+
 .. [CMN2014] David Coudert, Dorian Mazauric, and Nicolas Nisse, *Experimental
              Evaluation of a Branch and Bound Algorithm for computing
              Pathwidth*. In Symposium on Experimental Algorithms (SEA), volume
@@ -3742,6 +3746,14 @@ REFERENCES:
 .. [Mar2004] \S. Marcus, Quasiperiodic infinite words,
              Bull. Eur. Assoc.  Theor. Comput. Sci. 82 (2004) 170-174.
 
+.. [Mar2012] \I. Marin, *The cubic Hecke algebra on at most 5 strands*,
+             Journal of Pure and Applied Algebra 216 (2012) 2754-2782.
+             :doi:`10.1016/j.jpaa.2012.04.013`, :arxiv:`1110.6621`.
+
+.. [Mar2018] \I. Marin, *Maximal cubic quotient of the braid algebra*,
+             preprint, 2018. available at
+             http://www.lamfa.u-picardie.fr/marin/arts/GQ.pdf
+
 .. [Mas1994] James L. Massey,
            *SAFER K-64: A byte-oriented block-ciphering algorithm*; in
            FSE’93, Volume 809 of LNCS, pages 1-17.
@@ -4052,6 +4064,9 @@ REFERENCES:
 .. [MW2009] Meshulam and Wallach, "Homological connectivity of random
             `k`-dimensional complexes", preprint, math.CO/0609773.
 
+.. [MW2012] Ivan Marin and Emmanuel Wagner, *A CUBIC DEFINING ALGEBRA FOR THE
+            LINKS-GOULD POLYNOMIAL* (:arxiv:`1203.5981v1` [mathGT] 27. Mar 2012)
+
 .. _ref-N:
 
 **N**

src/sage/algebras/catalog.py

@@ -9,6 +9,8 @@
 Let ``<tab>`` indicate pressing the tab key.  So begin by typing
 ``algebras.<tab>`` to the see the currently implemented named algebras.
 
+- :class:`algebras.CubicHecke
+  <sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeAlgebra>`
 - :class:`algebras.ArikiKoike
   <sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra>`
 - :class:`algebras.AskeyWilson <sage.algebras.askey_wilson.AskeyWilsonAlgebra>`
@@ -94,6 +96,7 @@
 lazy_import('sage.algebras.schur_algebra', 'SchurAlgebra', 'Schur')
 lazy_import('sage.algebras.commutative_dga', 'GradedCommutativeAlgebra', 'GradedCommutative')
 lazy_import('sage.algebras.hecke_algebras.ariki_koike_algebra', 'ArikiKoikeAlgebra', 'ArikiKoike')
+lazy_import('sage.algebras.hecke_algebras.cubic_hecke_algebra', 'CubicHeckeAlgebra', 'CubicHecke')
 lazy_import('sage.algebras.rational_cherednik_algebra', 'RationalCherednikAlgebra', 'RationalCherednik')
 lazy_import('sage.algebras.yokonuma_hecke_algebra', 'YokonumaHeckeAlgebra', 'YokonumaHecke')
 lazy_import('sage.combinat.posets.incidence_algebras', 'IncidenceAlgebra', 'Incidence')