Chromatic characters and root multiplicities for Borcherds--Kac--Moody algebras 42XHT97E64

URI	`m2://res/42XHT97E64`
Kind	preprint
Creators	Priyanshu Chakraborty, Supriya Saha, R. Venkatesh
Date	2026-10-03
MSC	20-XX, 22-XX, 05-XX
Subjects	arxiv math.RT, arxiv math.CO
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
19K9K3P7BH	statement	lemma 8.6	arxiv
2KB1YA843H	definition	definition 3.1	arxiv
Whitney expansion	statement	proposition 3.4	arxiv
3RWWK1B3QX	statement	theorem 6.2	arxiv
3VR5G1BF3W	statement	corollary 6.9	arxiv
Multicoloring identities	statement	theorem 3.2	arxiv
6NF0QAPE53	statement	proposition 8.3	arxiv
6PKPJN4C91	statement	corollary 4.4	arxiv
7JKKJJX5WP	statement	proposition 8.1	arxiv
8112QH6JM4	statement	corollary 6.5	arxiv
The explicit real--imaginary path formula	statement	corollary 8.5	arxiv
9S4XDKG9KJ	statement	theorem 6.1	arxiv
A8YXCMWPQ0	example	example 8.8	arxiv
ADWDFRCBBA	statement	proposition 4.2	arxiv
B9MCZGZNWG	statement	proposition 5.1	arxiv
BK90KXY9D1	statement	proposition 8.7	arxiv
C2KV2E809G	example	example 6.7	arxiv
G2YPNYSTA0	statement	theorem 5.2	arxiv
HXHNAJESYG	statement	corollary 6.8	arxiv
Type \texorpdfstring{$A_2$}{A2} with the chordal diamond	example	example 8.10	arxiv
MA3KTPWVYR	statement	corollary 8.2	arxiv
NYVF5C4XA2	statement	corollary 6.3	arxiv
P2XEMXEBNG	statement	proposition 7.3	arxiv
Chordal specialization	statement	corollary 6.6	arxiv
Multinomial form	statement	corollary 3.3	arxiv
TCNY4PNNB2	statement	proposition 7.1	arxiv
TYRVEPZ8K1	example	example 8.9	arxiv
Type $A$ endpoint specialization	statement	corollary 8.4	arxiv
X2N61C4H43	statement	corollary 5.3	arxiv
XYAQT5PC09	statement	proposition 3.5	arxiv
YDAKEA4ZCA	statement	lemma 7.2	arxiv
YPFRX045M6	statement	lemma 4.1	arxiv
YQW247NQ00	statement	corollary 6.10	arxiv
ZB62K6NKA9	statement	lemma 6.4	arxiv
ZXWSMRRVNT	statement	corollary 6.11	arxiv