typos in docs

Author: borisdevos

docs/src/man/sectors.md

@@ -894,7 +894,7 @@ for the specific case ``N_1=4`` and ``N_2=3``. We can separate this tree into th
 part ``(b_1⊗b_2)⊗b_3 → c`` and the splitting part ``c→(((a_1⊗a_2)⊗a_3)⊗a_4)``. Given that
 the fusion tree can be considered to be the adjoint of a corresponding splitting tree
 ``c→(b_1⊗b_2)⊗b_3``, we now first consider splitting trees in isolation. A splitting tree
-which goes from one coupled sectors ``c`` to ``N`` uncoupled sectors ``a_1``, ``a_2``, …,
+which goes from one coupled sector ``c`` to ``N`` uncoupled sectors ``a_1``, ``a_2``, …,
 ``a_N`` needs ``N-2`` additional internal sector labels ``e_1``, …, ``e_{N-2}``, and, if
 `FusionStyle(I) isa GenericFusion`, ``N-1`` additional multiplicity labels ``μ_1``,
 …, ``μ_{N-1}``. We henceforth refer to them as vertex labels, as they are associated with
@@ -908,7 +908,7 @@ the orthogonality condition
 which now forces all internal lines ``e_k`` and vertex labels ``μ_l`` to be the same.
 
 There is one subtle remark that we have so far ignored. Within the specific subtypes of
-`Sector`, we do not explicitly distinguish between ``R_a^*`` (simply denoted as ``a`^*``
+`Sector`, we do not explicitly distinguish between ``R_a^*`` (simply denoted as ``a^*``
 and graphically depicted as an upgoing arrow ``a``) and ``R_{\bar{a}}`` (simply denoted as
 ``\bar{a}`` and depicted with a downgoing arrow), i.e. between the dual space of ``R_a`` on
 which the conjugated irrep acts, or the irrep ``\bar{a}`` to which the complex conjugate of